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Diffstat (limited to 'test-suite/bugs/closed/shouldsucceed/1448.v')
-rw-r--r-- | test-suite/bugs/closed/shouldsucceed/1448.v | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/shouldsucceed/1448.v b/test-suite/bugs/closed/shouldsucceed/1448.v new file mode 100644 index 00000000..fe3b4c8b --- /dev/null +++ b/test-suite/bugs/closed/shouldsucceed/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). |