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Diffstat (limited to 'src/ModularArithmetic/ModularArithmeticTheorems.v')
| -rw-r--r-- | src/ModularArithmetic/ModularArithmeticTheorems.v | 6 |
1 files changed, 2 insertions, 4 deletions
diff --git a/src/ModularArithmetic/ModularArithmeticTheorems.v b/src/ModularArithmetic/ModularArithmeticTheorems.v index 4e0ba461e..5a84d80b7 100644 --- a/src/ModularArithmetic/ModularArithmeticTheorems.v +++ b/src/ModularArithmetic/ModularArithmeticTheorems.v @@ -150,14 +150,12 @@ Section FandZ. Qed. Require Crypto.Algebra. - Global Instance ring_modulo : @Algebra.ring (F m) Logic.eq (ZToField 0) (ZToField 1) opp add sub mul. + Global Instance commutative_ring_modulo : @Algebra.commutative_ring (F m) Logic.eq (ZToField 0) (ZToField 1) opp add sub mul. Proof. - repeat split; Fdefn. + repeat split; Fdefn; try apply F_eq_dec. { rewrite Z.add_0_r. auto. } - { apply F_eq_dec. } { rewrite <-Z.add_sub_swap, <-Z.add_sub_assoc, Z.sub_diag, Z.add_0_r. apply Z_mod_same_full. } { rewrite Z.mul_1_r. auto. } - { apply F_eq_dec. } Qed. Lemma ZToField_0 : @ZToField m 0 = 0. |