Standard Library | The Coq Proof Assistant

Global Index

(22221 entries)

Notation Index

F

J

K

T

X

Y

_

(923 entries)

Module Index

J

X

Y

_

other

(744 entries)

Variable Index

H

J

Q

V

X

Y

_

other

(1480 entries)

Library Index

K

X

Y

_

other

(501 entries)

Lemma Index

other

(10364 entries)

Constructor Index

K

Y

_

other

(910 entries)

Axiom Index

K

V

X

Y

_

other

(573 entries)

Projection Index

G

K

L

V

X

Y

_

other

(386 entries)

Inductive Index

K

X

Y

_

other

(286 entries)

Section Index

H

J

Q

X

Y

_

other

(465 entries)

Instance Index

J

V

X

Y

_

other

(632 entries)

Abbreviation Index

J

V

Y

_

other

(1133 entries)

Definition Index

_

other

(3679 entries)

Record Index

J

V

X

Y

_

other

(145 entries)

Q (lemma)

Qabs_diff_Qle_condition [in Coq.QArith.Qabs]
Qabs_Qle_condition [in Coq.QArith.Qabs]
Qabs_triangle_reverse [in Coq.QArith.Qabs]
Qabs_Qminus [in Coq.QArith.Qabs]
Qabs_Qinv [in Coq.QArith.Qabs]
Qabs_Qmult [in Coq.QArith.Qabs]
Qabs_triangle [in Coq.QArith.Qabs]
Qabs_opp [in Coq.QArith.Qabs]
Qabs_nonneg [in Coq.QArith.Qabs]
Qabs_neg [in Coq.QArith.Qabs]
Qabs_pos [in Coq.QArith.Qabs]
Qabs_case [in Coq.QArith.Qabs]
Qcabs_null [in Coq.QArith.Qcabs]
Qcabs_diff_Qcle_condition [in Coq.QArith.Qcabs]
Qcabs_Qcle_condition [in Coq.QArith.Qcabs]
Qcabs_triangle_reverse [in Coq.QArith.Qcabs]
Qcabs_Qcminus [in Coq.QArith.Qcabs]
Qcabs_Qcmult [in Coq.QArith.Qcabs]
Qcabs_triangle [in Coq.QArith.Qcabs]
Qcabs_opp [in Coq.QArith.Qcabs]
Qcabs_nonneg [in Coq.QArith.Qcabs]
Qcabs_neg [in Coq.QArith.Qcabs]
Qcabs_pos [in Coq.QArith.Qcabs]
Qcabs_case [in Coq.QArith.Qcabs]
Qcabs_canon [in Coq.QArith.Qcabs]
Qcdiv_mult_l [in Coq.QArith.Qcanon]
Qceiling_resp_le [in Coq.QArith.Qround]
Qceiling_lt [in Coq.QArith.Qround]
Qceiling_Z [in Coq.QArith.Qround]
Qceq_alt [in Coq.QArith.Qcanon]
Qcge_alt [in Coq.QArith.Qcanon]
Qcgt_alt [in Coq.QArith.Qcanon]
Qcinv_mult_distr [in Coq.QArith.Qcanon]
Qcle_minus_iff [in Coq.QArith.Qcanon]
Qcle_lt_or_eq [in Coq.QArith.Qcanon]
Qcle_not_lt [in Coq.QArith.Qcanon]
Qcle_lt_trans [in Coq.QArith.Qcanon]
Qcle_trans [in Coq.QArith.Qcanon]
Qcle_antisym [in Coq.QArith.Qcanon]
Qcle_refl [in Coq.QArith.Qcanon]
Qcle_alt [in Coq.QArith.Qcanon]
Qcle_Qcabs [in Coq.QArith.Qcabs]
Qclt_minus_iff [in Coq.QArith.Qcanon]
Qclt_le_dec [in Coq.QArith.Qcanon]
Qclt_not_le [in Coq.QArith.Qcanon]
Qclt_trans [in Coq.QArith.Qcanon]
Qclt_le_trans [in Coq.QArith.Qcanon]
Qclt_le_weak [in Coq.QArith.Qcanon]
Qclt_not_eq [in Coq.QArith.Qcanon]
Qclt_alt [in Coq.QArith.Qcanon]
Qcmult_lt_compat_r [in Coq.QArith.Qcanon]
Qcmult_lt_0_le_reg_r [in Coq.QArith.Qcanon]
Qcmult_le_compat_r [in Coq.QArith.Qcanon]
Qcmult_div_r [in Coq.QArith.Qcanon]
Qcmult_inv_l [in Coq.QArith.Qcanon]
Qcmult_inv_r [in Coq.QArith.Qcanon]
Qcmult_integral_l [in Coq.QArith.Qcanon]
Qcmult_integral [in Coq.QArith.Qcanon]
Qcmult_plus_distr_l [in Coq.QArith.Qcanon]
Qcmult_plus_distr_r [in Coq.QArith.Qcanon]
Qcmult_comm [in Coq.QArith.Qcanon]
Qcmult_1_r [in Coq.QArith.Qcanon]
Qcmult_1_l [in Coq.QArith.Qcanon]
Qcmult_0_r [in Coq.QArith.Qcanon]
Qcmult_0_l [in Coq.QArith.Qcanon]
Qcmult_assoc [in Coq.QArith.Qcanon]
Qcnot_le_lt [in Coq.QArith.Qcanon]
Qcnot_lt_le [in Coq.QArith.Qcanon]
Qcompare_spec [in Coq.QArith.QArith_base]
Qcompare_antisym [in Coq.QArith.QArith_base]
Qcopp_le_compat [in Coq.QArith.Qcanon]
Qcopp_involutive [in Coq.QArith.Qcanon]
Qcplus_le_compat [in Coq.QArith.Qcanon]
Qcplus_opp_r [in Coq.QArith.Qcanon]
Qcplus_comm [in Coq.QArith.Qcanon]
Qcplus_0_r [in Coq.QArith.Qcanon]
Qcplus_0_l [in Coq.QArith.Qcanon]
Qcplus_assoc [in Coq.QArith.Qcanon]
Qcpower_pos [in Coq.QArith.Qcanon]
Qcpower_0 [in Coq.QArith.Qcanon]
Qcpower_1 [in Coq.QArith.Qcanon]
Qc_eq_bool_correct [in Coq.QArith.Qcanon]
Qc_dec [in Coq.QArith.Qcanon]
Qc_eq_dec [in Coq.QArith.Qcanon]
Qc_decomp [in Coq.QArith.Qcanon]
Qc_is_canon [in Coq.QArith.Qcanon]
Qdiv_power [in Coq.QArith.Qpower]
Qdiv_mult_l [in Coq.QArith.QArith_base]
Qeq_false [in Coq.micromega.RMicromega]
Qeq_true [in Coq.micromega.RMicromega]
Qeq_eqR [in Coq.QArith.Qreals]
Qeq_bool_trans [in Coq.QArith.QArith_base]
Qeq_bool_sym [in Coq.QArith.QArith_base]
Qeq_bool_refl [in Coq.QArith.QArith_base]
Qeq_bool_comm [in Coq.QArith.QArith_base]
Qeq_bool_neq [in Coq.QArith.QArith_base]
Qeq_eq_bool [in Coq.QArith.QArith_base]
Qeq_bool_eq [in Coq.QArith.QArith_base]
Qeq_bool_iff [in Coq.QArith.QArith_base]
Qeq_dec [in Coq.QArith.QArith_base]
Qeq_trans [in Coq.QArith.QArith_base]
Qeq_sym [in Coq.QArith.QArith_base]
Qeq_refl [in Coq.QArith.QArith_base]
Qeq_alt [in Coq.QArith.QArith_base]
Qeval_nformula_dec [in Coq.micromega.QMicromega]
Qeval_formula_compat [in Coq.micromega.QMicromega]
Qeval_expr_compat [in Coq.micromega.QMicromega]
Qeval_expr_simpl [in Coq.micromega.QMicromega]
Qfloor_resp_le [in Coq.QArith.Qround]
Qfloor_le [in Coq.QArith.Qround]
Qfloor_Z [in Coq.QArith.Qround]
Qge_alt [in Coq.QArith.QArith_base]
Qgt_alt [in Coq.QArith.QArith_base]
Qinv_power_n [in Coq.QArith.Qpower]
Qinv_power [in Coq.QArith.Qpower]
Qinv_power_positive [in Coq.QArith.Qpower]
Qinv_lt_0_compat [in Coq.QArith.QArith_base]
Qinv_le_0_compat [in Coq.QArith.QArith_base]
Qinv_mult_distr [in Coq.QArith.QArith_base]
Qinv_involutive [in Coq.QArith.QArith_base]
Qle_true [in Coq.micromega.RMicromega]
Qle_floor_ceiling [in Coq.QArith.Qround]
Qle_ceiling [in Coq.QArith.Qround]
Qle_Rle [in Coq.QArith.Qreals]
Qle_Qabs [in Coq.QArith.Qabs]
Qle_shift_inv_r [in Coq.QArith.QArith_base]
Qle_shift_div_r [in Coq.QArith.QArith_base]
Qle_shift_inv_l [in Coq.QArith.QArith_base]
Qle_shift_div_l [in Coq.QArith.QArith_base]
Qle_minus_iff [in Coq.QArith.QArith_base]
Qle_lt_or_eq [in Coq.QArith.QArith_base]
Qle_not_lt [in Coq.QArith.QArith_base]
Qle_lt_trans [in Coq.QArith.QArith_base]
Qle_lteq [in Coq.QArith.QArith_base]
Qle_trans [in Coq.QArith.QArith_base]
Qle_antisym [in Coq.QArith.QArith_base]
Qle_refl [in Coq.QArith.QArith_base]
Qle_bool_imp_le [in Coq.QArith.QArith_base]
Qle_bool_iff [in Coq.QArith.QArith_base]
Qle_alt [in Coq.QArith.QArith_base]
Qlt_floor [in Coq.QArith.Qround]
Qlt_Rlt [in Coq.QArith.Qreals]
Qlt_shift_inv_r [in Coq.QArith.QArith_base]
Qlt_shift_div_r [in Coq.QArith.QArith_base]
Qlt_shift_inv_l [in Coq.QArith.QArith_base]
Qlt_shift_div_l [in Coq.QArith.QArith_base]
Qlt_minus_iff [in Coq.QArith.QArith_base]
Qlt_le_dec [in Coq.QArith.QArith_base]
Qlt_not_le [in Coq.QArith.QArith_base]
Qlt_trans [in Coq.QArith.QArith_base]
Qlt_le_trans [in Coq.QArith.QArith_base]
Qlt_le_weak [in Coq.QArith.QArith_base]
Qlt_not_eq [in Coq.QArith.QArith_base]
Qlt_irrefl [in Coq.QArith.QArith_base]
Qlt_alt [in Coq.QArith.QArith_base]
Qmake_Qdiv [in Coq.QArith.QArith_base]
Qminus'_correct [in Coq.QArith.Qreduction]
Qmult_integral [in Coq.micromega.RMicromega]
Qmult_power [in Coq.QArith.Qpower]
Qmult_power_positive [in Coq.QArith.Qpower]
Qmult_le_0_compat [in Coq.QArith.QArith_base]
Qmult_lt_l [in Coq.QArith.QArith_base]
Qmult_lt_r [in Coq.QArith.QArith_base]
Qmult_lt_compat_r [in Coq.QArith.QArith_base]
Qmult_le_l [in Coq.QArith.QArith_base]
Qmult_le_r [in Coq.QArith.QArith_base]
Qmult_lt_0_le_reg_r [in Coq.QArith.QArith_base]
Qmult_le_compat_r [in Coq.QArith.QArith_base]
Qmult_inj_l [in Coq.QArith.QArith_base]
Qmult_inj_r [in Coq.QArith.QArith_base]
Qmult_div_r [in Coq.QArith.QArith_base]
Qmult_inv_r [in Coq.QArith.QArith_base]
Qmult_integral_l [in Coq.QArith.QArith_base]
Qmult_integral [in Coq.QArith.QArith_base]
Qmult_plus_distr_l [in Coq.QArith.QArith_base]
Qmult_plus_distr_r [in Coq.QArith.QArith_base]
Qmult_comm [in Coq.QArith.QArith_base]
Qmult_1_r [in Coq.QArith.QArith_base]
Qmult_1_l [in Coq.QArith.QArith_base]
Qmult_0_r [in Coq.QArith.QArith_base]
Qmult_0_l [in Coq.QArith.QArith_base]
Qmult_assoc [in Coq.QArith.QArith_base]
Qmult'_correct [in Coq.QArith.Qreduction]
Qnot_le_lt [in Coq.QArith.QArith_base]
Qnot_lt_le [in Coq.QArith.QArith_base]
Qnot_eq_sym [in Coq.QArith.QArith_base]
QNpower [in Coq.micromega.QMicromega]
Qopp_lt_compat [in Coq.QArith.Qround]
Qopp_opp [in Coq.QArith.Qfield]
Qopp_plus [in Coq.QArith.Qfield]
Qopp_le_compat [in Coq.QArith.QArith_base]
Qopp_involutive [in Coq.QArith.QArith_base]
Qplus_lt_r [in Coq.QArith.QArith_base]
Qplus_lt_l [in Coq.QArith.QArith_base]
Qplus_le_r [in Coq.QArith.QArith_base]
Qplus_le_l [in Coq.QArith.QArith_base]
Qplus_lt_le_compat [in Coq.QArith.QArith_base]
Qplus_le_compat [in Coq.QArith.QArith_base]
Qplus_inj_l [in Coq.QArith.QArith_base]
Qplus_inj_r [in Coq.QArith.QArith_base]
Qplus_opp_r [in Coq.QArith.QArith_base]
Qplus_comm [in Coq.QArith.QArith_base]
Qplus_0_r [in Coq.QArith.QArith_base]
Qplus_0_l [in Coq.QArith.QArith_base]
Qplus_assoc [in Coq.QArith.QArith_base]
Qplus'_correct [in Coq.QArith.Qreduction]
Qpower_positive_zero [in Coq.micromega.RMicromega]
Qpower_positive_eq_zero [in Coq.micromega.RMicromega]
Qpower_decomp [in Coq.QArith.Qpower]
Qpower_mult [in Coq.QArith.Qpower]
Qpower_mult_positive [in Coq.QArith.Qpower]
Qpower_plus' [in Coq.QArith.Qpower]
Qpower_plus [in Coq.QArith.Qpower]
Qpower_minus_positive [in Coq.QArith.Qpower]
Qpower_opp [in Coq.QArith.Qpower]
Qpower_plus_positive [in Coq.QArith.Qpower]
Qpower_pos [in Coq.QArith.Qpower]
Qpower_pos_positive [in Coq.QArith.Qpower]
Qpower_not_0_positive [in Coq.QArith.Qpower]
Qpower_0 [in Coq.QArith.Qpower]
Qpower_positive_0 [in Coq.QArith.Qpower]
Qpower_1 [in Coq.QArith.Qpower]
Qpower_positive_1 [in Coq.QArith.Qpower]
Qpower_theory [in Coq.QArith.Qfield]
Qpower0 [in Coq.micromega.RMicromega]
Qred_involutive [in Coq.QArith.Qcanon]
Qred_iff [in Coq.QArith.Qcanon]
Qred_identity2 [in Coq.QArith.Qcanon]
Qred_identity [in Coq.QArith.Qcanon]
Qred_abs [in Coq.QArith.Qcabs]
Qred_lt [in Coq.QArith.Qreduction]
Qred_le [in Coq.QArith.Qreduction]
Qred_compare [in Coq.QArith.Qreduction]
Qred_opp [in Coq.QArith.Qreduction]
Qred_eq_iff [in Coq.QArith.Qreduction]
Qred_complete [in Coq.QArith.Qreduction]
Qred_correct [in Coq.QArith.Qreduction]
Qsor [in Coq.micromega.QMicromega]
QSORaddon [in Coq.micromega.QMicromega]
QSORaddon [in Coq.micromega.RMicromega]
Qsqr_nonneg [in Coq.QArith.Qpower]
QTautoChecker_sound [in Coq.micromega.QMicromega]
quadruple [in Coq.Reals.Ranalysis2]
quadruple_var [in Coq.Reals.Ranalysis2]
qualifE [in Coq.ssr.ssrbool]
quotient [in Coq.Arith.Euclid]
quotient_by_2 [in Coq.Numbers.Cyclic.Int31.Cyclic31]
quotient_by_2 [in Coq.Numbers.Cyclic.Int63.Int63]
QWeakChecker_sound [in Coq.micromega.QMicromega]
Q_of_RcstR [in Coq.micromega.RMicromega]
Q_apart_0_1 [in Coq.QArith.Qcanon]
Q_one_zero [in Coq.setoid_ring.Rings_Q]
Q_one_zero [in Coq.nsatz.Nsatz]
Q_dec [in Coq.QArith.QArith_base]
Q_apart_0_1 [in Coq.QArith.QArith_base]
Q.plus_min_distr_r [in Coq.QArith.Qminmax]
Q.plus_min_distr_l [in Coq.QArith.Qminmax]
Q.plus_max_distr_r [in Coq.QArith.Qminmax]
Q.plus_max_distr_l [in Coq.QArith.Qminmax]
Q2Qc_eq_iff [in Coq.QArith.Qcanon]
Q2RpowerRZ [in Coq.micromega.RMicromega]
Q2R_pow_N [in Coq.micromega.RMicromega]
Q2R_pow_pos [in Coq.micromega.RMicromega]
Q2R_inv_ext [in Coq.micromega.RMicromega]
Q2R_1 [in Coq.micromega.RMicromega]
Q2R_0 [in Coq.micromega.RMicromega]
Q2R_div [in Coq.QArith.Qreals]
Q2R_inv [in Coq.QArith.Qreals]
Q2R_minus [in Coq.QArith.Qreals]
Q2R_opp [in Coq.QArith.Qreals]
Q2R_mult [in Coq.QArith.Qreals]
Q2R_plus [in Coq.QArith.Qreals]

Global Index

(22221 entries)

Notation Index

F

J

K

T

X

Y

_

(923 entries)

Module Index

J

X

Y

_

other

(744 entries)

Variable Index

H

J

Q

V

X

Y

_

other

(1480 entries)

Library Index

K

X

Y

_

other

(501 entries)

Lemma Index

other

(10364 entries)

Constructor Index

K

Y

_

other

(910 entries)

Axiom Index

K

V

X

Y

_

other

(573 entries)

Projection Index

G

K

L

V

X

Y

_

other

(386 entries)

Inductive Index

K

X

Y

_

other

(286 entries)

Section Index

H

J

Q

X

Y

_

other

(465 entries)

Instance Index

J

V

X

Y

_

other

(632 entries)

Abbreviation Index

J

V

Y

_

other

(1133 entries)

Definition Index

_

other

(3679 entries)

Record Index

J

V

X

Y

_

other

(145 entries)