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Diffstat (limited to 'plugins/ring/LegacyZArithRing.v')
| -rw-r--r-- | plugins/ring/LegacyZArithRing.v | 35 |
1 files changed, 0 insertions, 35 deletions
diff --git a/plugins/ring/LegacyZArithRing.v b/plugins/ring/LegacyZArithRing.v deleted file mode 100644 index 472c91b4..00000000 --- a/plugins/ring/LegacyZArithRing.v +++ /dev/null @@ -1,35 +0,0 @@ -(************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) -(* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) -(************************************************************************) - -(* Instantiation of the Ring tactic for the binary integers of ZArith *) - -Require Export LegacyArithRing. -Require Export ZArith_base. -Require Import Eqdep_dec. -Require Import LegacyRing. - -Definition Zeq (x y:Z) := - match (x ?= y)%Z with - | Datatypes.Eq => true - | _ => false - end. - -Lemma Zeq_prop : forall x y:Z, Is_true (Zeq x y) -> x = y. - intros x y H; unfold Zeq in H. - apply Z.compare_eq. - destruct (x ?= y)%Z; [ reflexivity | contradiction | contradiction ]. -Qed. - -Definition ZTheory : Ring_Theory Z.add Z.mul 1%Z 0%Z Z.opp Zeq. - split; intros; eauto with zarith. - apply Zeq_prop; assumption. -Qed. - -(* NatConstants and NatTheory are defined in Ring_theory.v *) -Add Legacy Ring Z Z.add Z.mul 1%Z 0%Z Z.opp Zeq ZTheory - [ Zpos Zneg 0%Z xO xI 1%positive ]. |