Index

Symbols

* (term), [1] + (backtracking branching) (tacn) + (term), [1] - (term) ... : ... (goal selector) (tacn) ... : ... (ssreflect) (tacn) ... : ... (type cast) ... <: ... ... <<: ... :> (coercion) (substructure) < (term) <= (term) => (tacn) > (term) >= (term) ?= (term)

@ident already exists. (Axiom) (err) @ident already exists. (Definition) (err) @ident already exists. (Let) (err) @ident already exists. (Program Definition) (err) @ident already exists. (Theorem) (err) @ident already exists. (Variable) (err) [> ... | ... | ... ] (dispatch) (tacn) `( ) `(! ) `{ } `{! } { {A}+{B} (term) {x:A & P x} (term) {x:A | P x} (term) || (left-biased branching) (tacn) }

_

_

A

A*B (term) A+B (term) A+{B} (term) Abort (cmd) About (cmd) abstract (ssreflect) (tacn) abstract (tacn) absurd (tacn) (term) absurd_set (term) Acc (term) Acc_inv (term) Acc_rect (term) Add @table (cmd) Add Field (cmd) Add LoadPath (cmd) Add ML Path (cmd) Add Morphism (cmd) Add Parametric Morphism (cmd) Add Parametric Relation (cmd) Add Rec LoadPath (cmd) Add Rec ML Path (cmd) Add Relation (cmd) Add Ring (cmd) Add Setoid (cmd) admit (tacn) Admit Obligations (cmd) Admitted (cmd) all (term) all: ... (tacnv) Allow StrictProp (flag)

and (term) and_rect (term) app (term) apply (ssreflect) (tacn) apply (tacn) apply ... in (tacn) apply ... in ... as (tacnv) Argument number ‘num’ is a trailing implicit so must be maximal (warn) Argument of match does not evaluate to a term (err) Arguments (assert) (cmd) Arguments (bidirectionality hints) (cmd) Arguments (clear implicits) (cmd) Arguments (default implicits) (cmd) Arguments (implicits) (cmd) Arguments (rename) (cmd) Arguments (scopes) (cmd) Arguments of ring_simplify do not have all the same type (err) Arithmetical notations assert (tacn) assert_fails (tacn) assert_succeeds (tacn) assumption (tacn) Asymmetric Patterns (flag) Attempt to save an incomplete proof (err) auto (tacn) Auto Template Polymorphism (flag) autoapply (tacn) Automatically declaring ‘ident’ as template polymorphic (warn) autorewrite (tacn) autounfold (tacn) Axiom (cmdv) Axioms (cmdv)

B

Back (cmd) BackTo (cmd) Bad lemma for decidability of equality (err) Bad magic number (err) Bad occurrence number of ‘qualid’ (err) Bad relevance (warn) Bad ring structure (err) Bind Scope (cmd)

bool (term) bool_choice (term) Boolean Equality Schemes (flag) Bracketing Last Introduction Pattern (flag) Brackets do not support multi-goal selectors (err) btauto (tacn) Bullet Behavior (opt) by (tacn)

C

Cannot build functional inversion principle (warn) Cannot coerce ‘qualid’ to an evaluable reference (err) Cannot define graph for ‘ident’ (warn) Cannot define principle(s) for ‘ident’ (warn) Cannot find a declared ring structure for equality ‘term’ (err) Cannot find a declared ring structure over ‘term’ (err) Cannot find induction information on ‘qualid’ (err) Cannot find inversion information for hypothesis ‘ident’ (err) Cannot find library foo in loadpath (err) Cannot find the source class of ‘qualid’ (err) Cannot handle mutually (co)inductive records (err) Cannot infer a term for this placeholder. (Casual use of implicit arguments) (err) Cannot infer a term for this placeholder. (refine) (err) Cannot interpret in ‘scope’ because ‘ident’ could not be found in the current environment (err), [1] Cannot interpret this number as a value of type ‘type’ (err) Cannot interpret this string as a value of type ‘type’ (err) Cannot load qualid: no physical path bound to dirpath (err) Cannot move ‘ident’ after ‘ident’: it depends on ‘ident’ (err) Cannot move ‘ident’ after ‘ident’: it occurs in the type of ‘ident’ (err) Cannot recognize a boolean equality (err) Cannot recognize ‘class’ as a source class of ‘qualid’ (err) Cannot solve the goal (err) Cannot use mutual definition with well-founded recursion or measure (err) Canonical (cmd) Can’t find file ‘ident’ on loadpath (err) case (ssreflect) (tacn) case (tacn) Case Analysis Schemes (flag) cbn (tacn) cbv (tacn) Cd (cmd) change (tacn) change_no_check (tacn) Check (cmd) Choice (term) Choice2 (term) Class (cmd) classical_left (tacn) classical_right (tacn)

clear (tacn) clearbody (tacnv) Close Scope (cmd) Coercion (cmd) cofix (tacn) CoFixpoint (cmd) CoInductive (cmd) Collection (cmd) Combined Scheme (cmd) compare (tacn) Compiled library ‘ident’.vo makes inconsistent assumptions over library qualid (err) Compute (cmd) compute (tacnv) Condition not satisfied (err) congr (tacn) congruence (tacn) Congruence Verbose (flag) congruence with (tacnv) conj (term) Conjecture (cmdv) Conjectures (cmdv) Connectives constr_eq (tacn) constr_eq_strict (tacn) Constraint (cmd) constructor (tacn) Context (cmd) Contextual Implicit (flag) contradict (tacn) contradiction (tacn) convert_concl_no_check (tacnv) Coqtop Exit On Error (flag) Corollary (cmdv) Create HintDb (cmd) Cumulative (cmd) Cumulativity Weak Constraints (flag) cut (tacnv) cutrewrite (tacnv) cycle (tacn)

D

Datatypes Debug Auto (flag) debug auto (tacnv) Debug Cbv (flag) Debug Eauto (flag) Debug mode not available in the IDE (err) Debug RAKAM (flag) Debug Ssreflect (flag) Debug SsrMatching (flag) Debug Tactic Unification (flag) Debug Trivial (flag) debug trivial (tacnv) Debug Unification (flag) Decidable Equality Schemes (flag) decide equality (tacn) Declare Custom Entry (cmd) Declare Instance (cmdv) Declare Left Step (cmd) Declare ML Module (cmd) Declare Module (cmd) Declare Morphism (cmd) Declare Reduction (cmd) Declare Right Step (cmd) Declare Scope (cmd) decompose (tacn) Default Goal Selector (opt)

Default Proof Mode (opt) Default Proof Using (opt) Default Timeout (opt) Defined (cmdv) Definition (cmd) Delimit Scope (cmd) dependent destruction (tacnv) dependent induction (tacn) dependent inversion (tacnv) dependent inversion ... with ... (tacnv) dependent rewrite -> (tacn) dependent rewrite <- (tacnv) Derive (cmd) Derive Inversion (cmd) destruct (tacn) destruct ... eqn: (tacnv) Diffs (opt) dintuition (tacnv) discriminate (tacn) discrR (tacn) do (ssreflect) (tacn) do (tacn) done (tacn) double induction (tacn) Drop (cmd) dtauto (tacnv)

E

eapply (tacnv) eassert (tacnv) eassumption (tacnv) easy (tacn) eauto (tacn) ecase (tacnv) econstructor (tacnv) edestruct (tacnv) ediscriminate (tacnv) eelim (tacnv) eenough (tacnv) eexact (tacnv) eexists (tacnv) einduction (tacnv) einjection (tacnv) eintros (tacn) Either there is a type incompatibility or the problem involves dependencies (err) Elaboration StrictProp Cumulativity (flag) eleft (tacnv) elim (ssreflect) (tacn) elim (tacnv) elim ... with (tacnv) Elimination Schemes (flag) elimtype (tacnv) End (cmd), [1], [2] enough (tacnv) epose (tacnv) epose proof (tacnv) eq (term) eq_add_S (term) eq_ind_r (term) eq_rec_r (term) eq_rect (term), [1] eq_rect_r (term) eq_refl (term) eq_S (term) eq_sym (term) eq_trans (term) Equality eremember (tacnv) erewrite (tacnv) eright (tacnv) error (term)

eset (tacnv) esimplify_eq (tacnv) esplit (tacnv) Eval (cmd) evar (tacn) ex (term) ex2 (term) ex_intro (term) ex_intro2 (term) exact (tacn) exact_no_check (tacn) exactly_once (tacn) Example (cmdv) Exc (term) exfalso (tacn) exist (term) exist2 (term) Existential (cmd) Existing Instance (cmd) exists (tacnv) (term) exists2 (term) existT (term) existT2 (term) Export (cmdv) Extract Constant (cmd) Extract Inductive (cmd) Extract Inlined Constant (cmd) Extraction (cmd), [1] Extraction AutoInline (flag) Extraction Blacklist (cmd) Extraction Conservative Types (flag) Extraction File Comment (opt) Extraction Flag (opt) Extraction Implicit (cmd) Extraction Inline (cmd) Extraction KeepSingleton (flag) Extraction Language (cmd) Extraction Library (cmd) Extraction NoInline (cmd) Extraction Optimize (flag) Extraction SafeImplicits (flag) Extraction TestCompile (cmd) Extraction TypeExpand (flag)

F

f_equal (tacn) (term) f_equal2 ... f_equal5 (term) Fact (cmdv) Fail (cmd) fail (tacn) Failed to progress (err) False (term) false (term) False_rec (term) False_rect (term) Fast Name Printing (flag) field (tacn) field_simplify (tacn) field_simplify_eq (tacn) File not found on loadpath: ‘string’ (err) Files processed by Load cannot leave open proofs (err) finish_timing (tacn) first (ssreflect) (tacn) first (tacn) first last (tacnv) firstorder (tacn) Firstorder Depth (opt)

Firstorder Solver (opt) fix (tacn) fix_eq (term) Fix_F (term) Fix_F_eq (term) Fix_F_inv (term) Fixpoint (cmd) flat_map (term) Focus (cmd) fold (tacn) fold_left (term) fold_right (term) forall Found target class ... instead of ... (err) From ... Require ... (cmdv) fst (term) fun ... => ... Funclass cannot be a source class (err) Function (cmd) function induction (tacn) function_scope functional inversion (tacn) Functional Scheme (cmd)

G

ge (term) Generalizable (cmd) Generalizable All Variables (cmd) Generalizable No Variables (cmd) generalize (tacn) generally have (tacn) gfail (tacnv) give_up (tacn) Global (cmd) Global Close Scope (cmd) Global Generalizable (cmd)

Global Instance (cmdv) Global Opaque (cmdv) Global Open Scope (cmd) Global Transparent (cmdv) Goal (cmd) goal does not satisfy the expected preconditions (err) Goal is solvable by congruence but some arguments are missing. Try congruence with ‘term’…‘term’, replacing metavariables by arbitrary terms (err) Grab Existential Variables (cmd) gt (term) guard (tacn) Guard Checking (flag) Guarded (cmd)

H

has_evar (tacn) have (tacn) head (term) Hide Obligations (flag) Hint (cmd) Hint Constants (cmdv) Hint Constructors (cmdv) Hint Cut (cmdv) Hint Extern (cmdv) Hint Immediate (cmdv) Hint Mode (cmdv) Hint Opaque (cmdv) Hint Resolve (cmdv)

Hint Rewrite (cmd), [1], [2], [3] Hint Transparent (cmdv) Hint Unfold (cmdv) Hint Variables (cmdv) Hint View for (cmd) Hint View for apply (cmd), [1] Hint View for move (cmd) hnf (tacn) Hypotheses (cmdv) Hypotheses (outside a section) (cmdv) Hypothesis (cmdv) Hypothesis (outside a section) (cmdv) Hypothesis ‘ident’ must contain at least one Function (err) Hyps Limit (opt)

I

I (term) I don’t know how to handle dependent equality (err) identity (term), [1] Identity Coercion (cmd) idtac (tacn) IF_then_else (term) iff (term) Ignored instance declaration for “‘ident’”: “‘term’” is not a class (warn) Ill-formed recursive definition (err) Implicit Arguments (flag) Implicit Types (cmd) Import (cmd) in (tacn) In environment … the term: ‘term’ does not have type ‘type’. Actually, it has type ... (err) Include (cmd), [1], [2], [3] Incorrect number of tactics (expected N tactics, was given M) (err) induction (tacn) induction ... using ... (tacnv) Inductive (cmd) Inductive ‘ident’ cannot be made template polymorphic (err) Infix (cmd) Info (cmd) Info Auto (flag) Info Eauto (flag) Info Level (opt)

Info Trivial (flag) info_trivial (tacnv) injection (tacn) inl (term) inleft (term) Inline (cmd) inr (term) inright (term) Inspect (cmdv) Instance (cmd) instantiate (tacn) intro (tacn) intros (tacnv) intros ... (tacn) intuition (tacn) Intuition Negation Unfolding (flag) Invalid argument (err) Invalid backtrack (err) inversion (tacn) inversion ... using ... (tacnv) inversion_clear (tacnv) inversion_sigma (tacnv) is_evar (tacn) is_var (tacn) IsSucc (term)

K

Keep Proof Equalities (flag)

Keyed Unification (flag)

L

lapply (tacnv) last (tacn) last first (tacnv) lazy (tacn) le (term) le_n (term) le_S (term) left (tacnv) (term) Lemma (cmdv) length (term) Let (cmd) Let (outside a section) (cmdv) let ... := ... (tacn) (term) Let CoFixpoint (cmdv) Let Fixpoint (cmdv) lia (tacn) Lia Cache (flag) Load (cmd) Load is not supported inside proofs (err) Loading of ML object file forbidden in a native Coq (err) Local (cmd)

Local Close Scope (cmd) Local Declare Custom Entry (cmd) Local Definition (cmdv) Local Notation (cmd) Local Open Scope (cmd) Local Parameter (cmdv) Locate (cmd) Locate File (cmd) Locate Library (cmd) Loose Hint Behavior (opt) lra (tacn) lt (term) Ltac (cmd) Ltac Backtrace (flag) Ltac Batch Debug (flag) Ltac Debug (flag) Ltac Profiling (flag) ltac-seq (tacn) Ltac2 (cmd) Ltac2 Backtrace (flag) Ltac2 Eval (cmd) Ltac2 Notation (cmd) Ltac2 Set (cmd) Ltac2 Type (cmd)

M

Mangle Names (flag) Mangle Names Prefix (opt) map (term) match ... with ... match goal (tacn) Maximal Implicit Insertion (flag) mod (term) Module (cmd), [1] Module Type (cmd), [1]

Module/section ‘qualid’ not found (err) Monomorphic (cmd) move (tacn) move ... after ... (tacn) move ... at bottom (tacnv) move ... at top (tacnv) move ... before ... (tacnv) mult (term) mult_n_O (term) mult_n_Sm (term)

N

n_Sn (term) nat (term) nat_case (term) nat_double_ind (term) nat_scope native_cast_no_check (tacnv) native_compute (tacnv) NativeCompute Profile Filename (opt) NativeCompute Profiling (flag) Nested Proofs Allowed (flag) Nested proofs are not allowed unless you turn the Nested Proofs Allowed flag on (err) New coercion path ... is ambiguous with existing ... (warn) Next Obligation (cmd) nia (tacn) Nia Cache (flag) No applicable tactic (err) No argument name ‘ident’ (err) No discriminable equalities (err) No evars (err) No focused proof (err), [1] No focused proof (No proof-editing in progress) (err) No focused proof to restart (err) No head constant to reduce (err) No matching clauses for match (err) No matching clauses for match goal (err) No primitive equality found (err) No product even after head-reduction (err) No progress made (err) No such assumption (err), [1] No such binder (err) No such goal (err) No such goal (‘ident’) (err) No such goal (‘num’) (err) No such goal. (fail) (err) No such goal. (Goal selector) (err) No such goal. Focus next goal with bullet ‘bullet’ (err) No such hypothesis (err), [1], [2], [3] No such hypothesis in current goal (err), [1] No such hypothesis: ‘ident’ (err), [1] No such label ‘ident’ (err)

Non exhaustive pattern matching (err) Non strictly positive occurrence of ‘ident’ in ‘type’ (err) NonCumulative (cmd) None (term) Nonrecursive Elimination Schemes (flag) not (term) Not a context variable (err) Not a discriminable equality (err) Not a primitive equality (err) Not a projectable equality but a discriminable one (err) Not a proposition or a type (err) Not a valid ring equation (err) Not a variable or hypothesis (err) Not an evar (err) Not an exact proof (err) Not an inductive goal with 1 constructor (err) Not an inductive goal with 2 constructors (err) Not an inductive product (err), [1] Not convertible (err) Not enough constructors (err) Not equal (due to universes) (err), [1] Not equal (err), [1] Not reducible (err) Not the right number of induction arguments (err) Not the right number of missing arguments (err), [1] not_eq_S (term) Notation (cmd) Notation ‘string’ is deprecated since ‘string’. ‘string’ (warn) Notations for lists Nothing to do, it is an equality between convertible terms (err) Nothing to inject (err) Nothing to rewrite (err) notT (term) notypeclasses refine (tacnv) now (tacnv) nra (tacn) Nra Cache (flag) nsatz (tacn) nth (term) Numeral Notation (cmd)

O

O (term) O_S (term) Obligation (cmd) Obligation Tactic (cmd) Obligations (cmd) omega (tacn) Omega Action (flag) omega can't solve this system (err) Omega System (flag) Omega UseLocalDefs (flag) omega: Can't solve a goal with equality on type ... (err) omega: Can't solve a goal with non-linear products (err) omega: Can't solve a goal with proposition variables (err) omega: Not a quantifier-free goal (err)

omega: Unrecognized atomic proposition: ... (err) omega: Unrecognized predicate or connective: ‘ident’ (err) omega: Unrecognized proposition (err) once (tacn) only ... : ... (tacnv) Opaque (cmd) Open Scope (cmd) Optimize Heap (cmd) Optimize Proof (cmd) optimize_heap (tacn) option (term) or (term) or_introl (term) or_intror (term) over (tacn)

P

pair (term) par: ... (tacnv) Parameter (cmd) Parameters (cmdv) Parsing Explicit (flag) pattern (tacn) Peano's arithmetic plus (term) plus_n_O (term) plus_n_Sm (term) Polymorphic (cmd) Polymorphic Constraint (cmd) Polymorphic Inductive Cumulativity (flag) Polymorphic Universe (cmd) pose (ssreflect) (tacn) pose (tacn) pose proof (tacnv) Positivity Checking (flag) pred (term) pred_Sn (term) Prenex Implicits (cmd), [1] Preterm (cmd) Primitive (cmd) Primitive Projections (flag) Print (cmd) Print All (cmd) Print All Dependencies (cmdv) Print Assumptions (cmd) Print Canonical Projections (cmd) Print Classes (cmd) Print Coercion Paths (cmd) Print Coercions (cmd) Print Custom Grammar (cmd) Print Extraction Blacklist (cmd) Print Extraction Inline (cmd) Print Firstorder Solver (cmd) Print Grammar constr (cmd) Print Grammar pattern (cmd) Print Grammar tactic (cmd) Print Graph (cmd) Print Hint (cmd), [1], [2], [3] Print HintDb (cmd) Print Implicit (cmd) Print Instances (cmd) Print Libraries (cmd) Print LoadPath (cmd) Print Ltac (cmd) Print Ltac Signatures (cmd) Print ML Modules (cmd) Print ML Path (cmd) Print Module (cmd) Print Module Type (cmd) Print Opaque Dependencies (cmdv) Print Options (cmd) Print Rewrite HintDb (cmd) Print Scope (cmdv) Print Scopes (cmd) Print Strategy (cmd)

Print Table @table (cmd) Print Tables (cmd) Print Term (cmdv) Print Transparent Dependencies (cmdv) Print Typing Flags (cmd) Print Universes (cmd) Print Universes Subgraph (cmdv) Print Visibility (cmd) Printing All (flag) Printing Allow Match Default Clause (flag) Printing Coercion (table) Printing Coercions (flag) Printing Compact Contexts (flag) Printing Constructor (table) Printing Dependent Evars Line (flag) Printing Depth (opt) Printing Existential Instances (flag) Printing Factorizable Match Patterns (flag) Printing If (table) Printing Implicit (flag) Printing Implicit Defensive (flag) Printing Let (table) Printing Matching (flag) Printing Notations (flag) Printing Primitive Projection Parameters (flag) Printing Projections (flag) Printing Record (table) Printing Records (flag) Printing Synth (flag) Printing Unfocused (flag) Printing Universes (flag) Printing Width (opt) Printing Wildcard (flag) Private Polymorphic Universes (flag) prod (term) Program Cases (flag) Program Definition (cmd) Program Fixpoint (cmd) Program Generalized Coercion (flag) Program Instance (cmdv) Program Lemma (cmd) Program Mode (flag) Programming progress (tacn) proj1 (term) proj2 (term) projT1 (term) projT2 (term) Proof (cmd) Proof `term` (cmd) Proof is not complete. (abstract) (err) Proof is not complete. (assert) (err) Proof using (cmd) Proof with (cmd) Prop Proposition (cmdv) psatz (tacn) Pwd (cmd)

Q

Qed (cmd)

Quantifiers Quit (cmd)

R

Record (cmd) Records declared with the keyword Record or Structure cannot be recursive (err) Recursion Recursive Extraction (cmd) Recursive Extraction Library (cmd) red (tacn) Redirect (cmd) refine (tacn) Refine passed ill-formed term (err) refl_identity (term) reflexivity (tacn) Register (cmd) Register Inline (cmd) Regular Subst Tactic (flag) Remark (cmdv) remember (tacn) Remove @table (cmd) Remove Hints (cmd) Remove LoadPath (cmd) rename (tacn) repeat (tacn) replace (tacn) Require (cmd) Require Export (cmdv)

Require Import (cmdv) Require is not allowed inside a module or a module type (err) Reserved Notation (cmd) Reset (cmd) Reset Extraction Blacklist (cmd) Reset Extraction Inline (cmd) Reset Ltac Profile (cmd) reset ltac profile (tacn) Restart (cmdv) restart_timer (tacn) rev (term) Reversible Pattern Implicit (flag) revert (tacn) revert dependent (tacnv) revgoals (tacn) rewrite (ssreflect) (tacn) rewrite (tacn) rewrite_strat (tacn) Rewriting Schemes (flag) right (tacnv) (term) ring (tacn) Ring operation should be declared as a morphism (err) ring_simplify (tacn) rtauto (tacn)

S

S (term) Save (cmdv) Scheme (cmd) Scheme Equality (cmdv) Search (cmd) Search (ssreflect) (cmd) Search Blacklist (table) Search Output Name Only (flag) SearchAbout (cmdv) SearchHead (cmd) SearchPattern (cmd) SearchRewrite (cmd) Section (cmd) Separate Extraction (cmd) Set (cmd) (sort) set (ssreflect) (tacn) set (tacn) Set @option (cmd) setoid_reflexivity (tacnv) setoid_replace (tacnv) setoid_rewrite (tacnv) setoid_symmetry (tacnv) setoid_transitivity (tacnv) shelve (tacn) shelve_unifiable (tacnv) Short Module Printing (flag) Show (cmd) Show Conjectures (cmdv) Show Existentials (cmdv) Show Goal (cmdv) Show Intro (cmdv) Show Intros (cmdv) Show Ltac Profile (cmd) show ltac profile (tacn), [1] Show Obligation Tactic (cmd) Show Proof (cmdv) Show Universes (cmdv) Show Zify BinOp (cmd) Show Zify BinRel (cmd) Show Zify CstOp (cmd) Show Zify InjTyp (cmd) Show Zify Spec (cmd) Show Zify UnOp (cmd) Shrink Obligations (flag) sig (term) sig2 (term) Signature components for label ‘ident’ do not match (err) sigT (term) sigT2 (term) Silent (flag) simpl (tacn) simple apply (tacnv)

simple destruct (tacnv) simple eapply (tacnv) simple induction (tacnv) simple inversion (tacnv) simple notypeclasses refine (tacnv) simple refine (tacnv) Simplex (flag) simplify_eq (tacn) singel: / (term) snd (term) solve (tacn) Solve All Obligations (cmd) Solve Obligations (cmd) Solve Unification Constraints (flag) solve_constraints (tacn) Some (term) specialize (tacnv) split (tacnv) split_Rabs (tacn) split_Rmult (tacn) SProp SProp not allowed, you need to Set Allow StrictProp or to use the -allow-sprop command-line-flag (err) SsrHave NoTCResolution (flag) SsrIdents (flag) SsrOldRewriteGoalsOrder (flag) SsrRewrite (flag) Stable Omega (flag) Stack overflow or segmentation fault happens when working with large numbers in ‘type’ (threshold may vary depending on your system limits and on the command executed) (warn) start ltac profiling (tacn) Statement without assumptions (err) stepl (tacn) stepr (tacnv) stop ltac profiling (tacn) Strategy (cmd) Strict Implicit (flag) Strict Universe Declaration (flag) String Notation (cmd) Strongly Strict Implicit (flag) Structural Injection (flag) Structure (cmdv) SubClass (cmdv) subst (tacn) suff (tacn) suffices (tacn) Suggest Proof Using (flag) sum (term) sumbool (term) sumor (term) swap (tacn) sym_not_eq (term) symmetry (tacn) Syntax error: [prim:reference] expected after 'Notation' (in [vernac:command]) (err), [1] Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command]) (err), [1]

T

Tactic Failure message (level ‘num’) (err) Tactic generated a subgoal identical to the original goal. This happens if ‘term’ does not occur in the goal (err) Tactic Notation (cmd) Tactic Notation ‘qualid’ is deprecated since ‘string’. ‘string’ (warn) Tactic ‘qualid’ is deprecated since ‘string’. ‘string’ (warn) tail (term) tauto (tacn) Template Check (flag) Terms do not have convertible types (err) Test (cmd), [1], [2] Test @table for (cmd) The 'abstract after' directive has no effect when the parsing function (‘ident’) targets an option type (warn) The command has not failed! (err) The conclusion is not a substitutive equation (err) The conclusion of ‘type’ is not valid it must be built from ‘ident’ (err) The constant ‘numeral’ is not a binary64 floating-point value. A closest value will be used and unambiguously printed ‘numeral’. [inexact-float,parsing] (warn) The constructor ‘ident’ expects ‘num’ arguments (err) The elimination predicate term should be of arity ‘num’ (for non dependent case) or ‘num’ (for dependent case) (err) The file :n:`‘ident’.vo` contains library dirpath and not library dirpath’ (err) The recursive argument must be specified (err) The reference is not unfoldable (err) The reference X was not found in the current environment (err) The reference ‘ident’ was not found in the current environment (err), [1] The reference ‘qualid’ was not found in the current environment (err), [1], [2] The term ‘term’ has type ‘type’ which should be Set, Prop or Type (err) The term ‘term’ has type ‘type’ while it is expected to have type ‘type’' (err) The variable ‘ident’ is already defined (err) The ‘num’ th argument of ‘ident’ must be ‘ident’ in ‘type’ (err) The ‘term’ provided does not end with an equation (err) Theorem (cmd) Theories This is not the last opened module (err) This is not the last opened module type (err) This is not the last opened section (err) This object does not support universe names (err) This proof is focused, but cannot be unfocused this way (err)

This tactic has more than one success (err) Time (cmd) time (tacn) time_constr (tacn) Timeout (cmd) timeout (tacn) To avoid stack overflow, large numbers in ‘type’ are interpreted as applications of ‘ident’ (warn) Too few occurrences (err), [1] transitivity (tacn) Transparent (cmd) Transparent Obligations (flag) transparent_abstract (tacnv) trivial (tacnv) True (term) true (term) try (tacn) tryif (tacn) Trying to mask the absolute name ‘qualid’! (warn) tt (term) Type type_scope Typeclass Resolution For Conversion (flag) Typeclasses Axioms Are Instances (flag) Typeclasses Debug (flag) Typeclasses Debug Verbosity (opt) Typeclasses Dependency Order (flag) Typeclasses Depth (opt) Typeclasses eauto (cmd) typeclasses eauto (tacn) Typeclasses Filtered Unification (flag) Typeclasses Iterative Deepening (flag) Typeclasses Limit Intros (flag) Typeclasses Opaque (cmd) Typeclasses Strict Resolution (flag) Typeclasses Transparent (cmd) Typeclasses Unique Instances (flag) Typeclasses Unique Solutions (flag)

U

Unable to apply (err) Unable to find an instance for the variables ‘ident’ ... ‘ident’ (err) Unable to find an instance for the variables ‘ident’…‘ident’ (err) Unable to infer a match predicate (err) Unable to satisfy the rewriting constraints (err) Unable to unify ... with ... (err) Unable to unify ‘term’ with ‘term’ (err), [1] Unbound [value|constructor] X (err) Unbound context identifier ‘ident’ (err) Undeclared universe ‘ident’ (err) Undelimit Scope (cmd) under (tacn) Undo (cmd) Unexpected non-option term ‘term’ while parsing a numeral notation (err) Unexpected non-option term ‘term’ while parsing a string notation (err) Unexpected term ‘term’ while parsing a numeral notation (err) Unexpected term ‘term’ while parsing a string notation (err) Unfocus (cmd) Unfocused (cmd)

unfold (tacn) Uniform Inductive Parameters (flag) unify (tacn) unit (term) Universal Lemma Under Conjunction (flag) Universe (cmd) Universe Checking (flag) Universe inconsistency (err) Universe instance should have length ‘num’ (err) Universe Minimization ToSet (flag) Universe Polymorphism (flag) Unknown inductive type (err) unlock (tacn) Unset (cmd) Unset @option (cmd) Unshelve (cmd) unshelve (tacn) Unsupported attribute (warn) Use of ‘string’ Notation is deprecated as it is inconsistent with pattern syntax (warn)

V

value (term) Variable (cmd) Variable (outside a section) (cmdv) Variable ‘ident’ is already declared (err)

Variables (cmdv) Variables (outside a section) (cmdv) Variant (cmd) vm_cast_no_check (tacnv) vm_compute (tacnv)

W

Warnings (opt) Well founded induction Well foundedness well_founded (term)

When ‘term’ contains more than one non dependent product the tactic lapply only takes into account the first product (warn) without loss (tacn) wlog (tacn) Wrong bullet ‘bullet’: Bullet ‘bullet’ is mandatory here (err) Wrong bullet ‘bullet’: Current bullet ‘bullet’ is not finished (err)

Y

You should use the “Proof using [...].” syntax instead of “Proof.” to enable skipping this proof which is located inside a section. Give as argument to “Proof using” the list of section variables that are not needed to typecheck the statement but that are required by the proof (warn)

Z

zify (tacn)

Symbols

‘class’ must be a transparent constant (err) ‘ident’ cannot be defined (warn) ‘ident’ is already declared as a typeclass (warn) ‘ident’ is already used (err), [1] ‘ident’ is bound to a notation that does not denote a reference (err), [1] ‘ident’ is declared as a local axiom [local-declaration,scope] (warn) ‘ident’ is declared as a local definition [local-declaration,scope] (warn) ‘ident’ is not a local definition (err) ‘ident’ is used in conclusion (err) ‘ident’ is used in hypothesis ‘ident’ (err) ‘ident’ is used in the conclusion (err) ‘ident’ is used in the hypothesis ‘ident’ (err), [1] ‘ident’ should go from Byte.byte or (list Byte.byte) to ‘type’ or (option ‘type’) (err)

‘ident’ should go from Decimal.int to ‘type’ or (option ‘type’). Instead of Decimal.int, the types Decimal.uint or Z or Int63.int or Decimal.decimal could be used (you may need to require BinNums or Decimal or Int63 first) (err) ‘ident’ should go from ‘type’ to Byte.byte or (option Byte.byte) or (list Byte.byte) or (option (list Byte.byte)) (err) ‘ident’ should go from ‘type’ to Decimal.int or (option Decimal.int). Instead of Decimal.int, the types Decimal.uint or Z or Int63.int or Decimal.decimal could be used (you may need to require BinNums or Decimal or Int63 first) (err) ‘ident’: no such entry (err) ‘qualid’ does not occur (err) ‘qualid’ does not respect the uniform inheritance condition (warn) ‘qualid’ is already a coercion (err) ‘qualid’ is not a function (err) ‘qualid’ is not a module (err) ‘qualid’ is not an inductive type (err) ‘qualid’ not a defined object (err) ‘qualid’ not declared (err) ‘term’ cannot be used as a hint (err), [1] ‘type’ is not an inductive type (err), [1]