diff options
Diffstat (limited to 'plugins/setoid_ring/Integral_domain.v')
| -rw-r--r-- | plugins/setoid_ring/Integral_domain.v | 5 |
1 files changed, 2 insertions, 3 deletions
diff --git a/plugins/setoid_ring/Integral_domain.v b/plugins/setoid_ring/Integral_domain.v index 5a224e38..0c16fe1a 100644 --- a/plugins/setoid_ring/Integral_domain.v +++ b/plugins/setoid_ring/Integral_domain.v @@ -19,7 +19,7 @@ rewrite H0. rewrite <- H. cring. Qed. -Definition pow (r : R) (n : nat) := Ring_theory.pow_N 1 mul r (N_of_nat n). +Definition pow (r : R) (n : nat) := Ring_theory.pow_N 1 mul r (N.of_nat n). Lemma pow_not_zero: forall p n, pow p n == 0 -> p == 0. induction n. unfold pow; simpl. intros. absurd (1 == 0). @@ -29,9 +29,8 @@ intros. case (integral_domain_product p (pow p n) H). trivial. trivial. unfold pow; simpl. clear IHn. induction n; simpl; try cring. - rewrite Ring_theory.pow_pos_Psucc. cring. apply ring_setoid. + rewrite Ring_theory.pow_pos_succ. cring. apply ring_setoid. apply ring_mult_comp. -apply cring_mul_comm. apply ring_mul_assoc. Qed. |