diff options
Diffstat (limited to 'theories/Numbers/Rational/BigQ/BigQ.v')
| -rw-r--r-- | theories/Numbers/Rational/BigQ/BigQ.v | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/theories/Numbers/Rational/BigQ/BigQ.v b/theories/Numbers/Rational/BigQ/BigQ.v index 424db5b7..3b2a372e 100644 --- a/theories/Numbers/Rational/BigQ/BigQ.v +++ b/theories/Numbers/Rational/BigQ/BigQ.v @@ -1,6 +1,6 @@ (************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010 *) +(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) @@ -26,10 +26,10 @@ Module BigN_BigZ <: NType_ZType BigN.BigN BigZ. reflexivity. Qed. Definition Zabs_N := BigZ.to_N. - Lemma spec_Zabs_N : forall z, BigN.to_Z (Zabs_N z) = Zabs (BigZ.to_Z z). + Lemma spec_Zabs_N : forall z, BigN.to_Z (Zabs_N z) = Z.abs (BigZ.to_Z z). Proof. unfold Zabs_N; intros. - rewrite BigZ.spec_to_Z, Zmult_comm; apply Zsgn_Zabs. + rewrite BigZ.spec_to_Z, Z.mul_comm; apply Z.sgn_abs. Qed. End BigN_BigZ. @@ -89,10 +89,10 @@ exact BigQ.div_mul_inv. exact BigQ.mul_inv_diag_l. Qed. Lemma BigQpowerth : - power_theory 1 BigQ.mul BigQ.eq Z_of_N BigQ.power. + power_theory 1 BigQ.mul BigQ.eq Z.of_N BigQ.power. Proof. constructor. intros. BigQ.qify. -replace ([r] ^ Z_of_N n)%Q with (pow_N 1 Qmult [r] n)%Q by (now destruct n). +replace ([r] ^ Z.of_N n)%Q with (pow_N 1 Qmult [r] n)%Q by (now destruct n). destruct n. reflexivity. induction p; simpl; auto; rewrite ?BigQ.spec_mul, ?IHp; reflexivity. Qed. |