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Datei: subst.v Sprache: Coq

Original von: Coq^©

(* Ensure order of hypotheses is respected after "subst" *)

Set Regular Subst Tactic.
Goal forall x y z, x = 0 -> y = 0 -> z = 0 -> x = 1 -> True -> x = 2 -> y = 3 -> True -> z = 4 -> True.
intros * Hx Hy Hz H1 HA H2 H3 HB H4.
(* From now on, the order after subst is consistently H1, HA, H2, H3, HB, H4 *)
subst x.
(* In 8.4 or 8.5 without regular subst tactic mode, the order was HA, H3, HB, H4, H1, H2 *)
Show.
Undo.
subst y.
(* In 8.4 or 8.5 without regular subst tactic mode, the order was H1, HA, H2, HB, H4, H3 *)
Show.
Undo.
subst z.
(* In 8.4 or 8.5 without regular subst tactic mode, the order was H1, HA, H2, H3, HB, H4 *)
Show.
Undo.
subst.
(* In 8.4 or 8.5 without regular subst tactic mode, the order was HA, HB, H4, H3, H1, H2 *)
(* In 8.5pl0 and 8.5pl1 with regular subst tactic mode, the order was HA, HB, H1, H2, H3, H4 *)
Show.
trivial.
Qed.

Unset Regular Subst Tactic.
Goal forall x y z, x = 0 -> y = 0 -> z = 0 -> x = 1 -> True -> x = 2 -> y = 3 -> True -> z = 4 -> True.
intros * Hx Hy Hz H1 HA H2 H3 HB H4.
subst x.
(* In 8.4 or 8.5 without regular subst tactic mode, the order was HA, H3, HB, H4, H1, H2 *)
Show.
Undo.
subst y.
(* In 8.4 or 8.5 without regular subst tactic mode, the order was H1, HA, H2, HB, H4, H3 *)
Show.
Undo.
subst z.
(* In 8.4 or 8.5 without regular subst tactic mode, the order was H1, HA, H2, H3, HB, H4 *)
Show.
Undo.
subst.
(* In 8.4 or 8.5 without regular subst tactic mode, the order was HA, HB, H4, H3, H1, H2 *)
(* In 8.5pl0 and 8.5pl1 with regular subst tactic mode, the order was HA, HB, H1, H2, H3, H4 *)
Show.
trivial.
Qed.

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