Library Coq.Numbers.Natural.Abstract.NProperties

Require Export NAxioms.
Require Import NMaxMin NParity NPow NSqrt NLog NDiv NDiv0 NGcd NLcm NLcm0 NBits.

The two following functors summarize all known facts about N.
  • NBasicProp provides properties of basic functions: + - * min max <= <
  • NExtraProp provides properties of advanced functions: pow, sqrt, log2, div, gcd, and bitwise functions. NExtraProp0 additionally assumes a / 0 == 0 and a mod 0 == a.
If necessary, the earlier all-in-one functor NProp could be re-obtained via NBasicProp <+ NExtraProp