Commit 0eb9a89b authored by Ralf Jung's avatar Ralf Jung

Merge branch 'ralf/rtc' into 'master'

decrease priority for rtc_reflexive instance

See merge request robbertkrebbers/coq-stdpp!38
parents adba875c 9c9d14b0
......@@ -65,7 +65,14 @@ Section rtc.
Hint Constructors rtc nsteps bsteps tc.
Global Instance rtc_reflexive: Reflexive (rtc R).
(* We give this instance a lower-than-usual priority because [setoid_rewrite]
queries for [@Reflexive Prop ?r] in the hope of [iff_reflexive] getting
picked as the instance. [rtc_reflexive] overlaps with that, leading to
backtracking. We cannot set [Hint Mode] because that query must not fail,
but we can at least avoid picking [rtc_reflexive].
See Coq bug *)
Global Instance rtc_reflexive: Reflexive (rtc R) | 10.
Proof. exact (@rtc_refl A R). Qed.
Lemma rtc_transitive x y z : rtc R x y rtc R y z rtc R x z.
Proof. induction 1; eauto. Qed.
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