From 7cfc4e5146be5666419451bdd516f1f3f264d24a Mon Sep 17 00:00:00 2001 From: Enrico Tassi Date: Sun, 25 Jan 2015 14:42:51 +0100 Subject: Imported Upstream version 8.5~beta1+dfsg --- test-suite/bugs/closed/1448.v | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 test-suite/bugs/closed/1448.v (limited to 'test-suite/bugs/closed/1448.v') diff --git a/test-suite/bugs/closed/1448.v b/test-suite/bugs/closed/1448.v new file mode 100644 index 00000000..fe3b4c8b --- /dev/null +++ b/test-suite/bugs/closed/1448.v @@ -0,0 +1,28 @@ +Require Import Relations. +Require Import Setoid. +Require Import Ring_theory. +Require Import Ring_base. + + +Variable R : Type. +Variable Rone Rzero : R. +Variable Rplus Rmult Rminus : R -> R -> R. +Variable Rneg : R -> R. + +Lemma my_ring_theory : @ring_theory R Rzero Rone Rplus Rmult Rminus Rneg (@eq +R). +Admitted. + +Variable Req : R -> R -> Prop. + +Hypothesis Req_refl : reflexive _ Req. +Hypothesis Req_sym : symmetric _ Req. +Hypothesis Req_trans : transitive _ Req. + +Add Relation R Req + reflexivity proved by Req_refl + symmetry proved by Req_sym + transitivity proved by Req_trans + as Req_rel. + +Add Ring my_ring : my_ring_theory (abstract). -- cgit v1.2.3