diff options
Diffstat (limited to 'theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v')
| -rw-r--r-- | theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v | 11 |
1 files changed, 9 insertions, 2 deletions
diff --git a/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v b/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v index adbd8223a..a0ad7643d 100644 --- a/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v +++ b/theories/Numbers/Natural/SpecViaZ/NSigNAxioms.v @@ -15,8 +15,8 @@ Module NTypeIsNAxioms (Import NN : NType'). Hint Rewrite spec_0 spec_1 spec_2 spec_succ spec_add spec_mul spec_pred spec_sub spec_div spec_modulo spec_gcd spec_compare spec_eqb spec_ltb spec_leb - spec_sqrt spec_log2 spec_max spec_min spec_pow_pos spec_pow_N spec_pow - spec_even spec_odd spec_testbit spec_shiftl spec_shiftr + spec_square spec_sqrt spec_log2 spec_max spec_min spec_pow_pos spec_pow_N + spec_pow spec_even spec_odd spec_testbit spec_shiftl spec_shiftr spec_land spec_lor spec_ldiff spec_lxor spec_div2 spec_of_N : nsimpl. Ltac nsimpl := autorewrite with nsimpl. @@ -256,6 +256,13 @@ Proof. intros. now zify. Qed. +(** Square *) + +Lemma square_spec n : square n == n * n. +Proof. + now zify. +Qed. + (** Sqrt *) Lemma sqrt_spec : forall n, 0<=n -> |