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Commit 613153f3 authored by Robbert Krebbers's avatar Robbert Krebbers
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Intuition for decidability of `red` in `wn_sn`.

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......@@ -280,6 +280,10 @@ Section properties.
Lemma wn_step_rtc x y : wn R y rtc R x y wn R x.
Proof. induction 2; eauto using wn_step. Qed.
(** The following theorem requires that [red R] is decidable. The intuition
for this requirement is that [wn R] is a very "positive" statement as it
points out a particular trace. In contrast, [sn R] just says "this also holds
for all successors", there is no "data"/"trace" there. *)
Lemma sn_wn `{!∀ y, Decision (red R y)} x : sn R x wn R x.
Proof.
induction 1 as [x _ IH]. destruct (decide (red R x)) as [[x' ?]|?].
......
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