From 9ebf44d84754adc5b64fcf612c6816c02c80462d Mon Sep 17 00:00:00 2001 From: Benjamin Barenblat Date: Sat, 2 Feb 2019 19:29:23 -0500 Subject: Imported Upstream version 8.9.0 --- test-suite/ssr/set_pattern.v | 64 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 64 insertions(+) create mode 100644 test-suite/ssr/set_pattern.v (limited to 'test-suite/ssr/set_pattern.v') diff --git a/test-suite/ssr/set_pattern.v b/test-suite/ssr/set_pattern.v new file mode 100644 index 00000000..3ce75e87 --- /dev/null +++ b/test-suite/ssr/set_pattern.v @@ -0,0 +1,64 @@ +(************************************************************************) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* set t := (x in X in _ = X) end. +Ltac T2 x := first [set t := (x in RHS)]. +Ltac T3 x := first [set t := (x in Y in _ = Y)|idtac]. +Ltac T4 x := set t := (x in RHS); idtac. +Ltac T5 x := match goal with |- _ => set t := (x in RHS) | |- _ => idtac end. + +Require Import ssrbool TestSuite.ssr_mini_mathcomp. + +Open Scope nat_scope. + +Lemma foo x y : x.+1 = y + x.+1. +set t := (_.+1 in RHS). match goal with |- x.+1 = y + t => rewrite /t {t} end. +set t := (x in RHS). match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end. +set t := (x in _ = x). match goal with |- x.+1 = t => rewrite /t {t} end. +set t := (x in X in _ = X). + match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end. +set t := (x in RHS). match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end. +set t := (y + (1 + x) as X in _ = X). + match goal with |- x.+1 = t => rewrite /t addSn add0n {t} end. +set t := x.+1. match goal with |- t = y + t => rewrite /t {t} end. +set t := (x).+1. match goal with |- t = y + t => rewrite /t {t} end. +set t := ((x).+1 in X in _ = X). + match goal with |- x.+1 = y + t => rewrite /t {t} end. +set t := (x.+1 in RHS). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T1 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T2 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T3 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T4 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +T5 (x.+1). match goal with |- x.+1 = y + t => rewrite /t {t} end. +rewrite [RHS]addnC. + match goal with |- x.+1 = x.+1 + y => rewrite -[RHS]addnC end. +rewrite -[in RHS](@subnK 1 x.+1) //. + match goal with |- x.+1 = y + (x.+1 - 1 + 1) => rewrite subnK // end. +have H : x.+1 = y by myadmit. +set t := _.+1 in H |- *. + match goal with H : t = y |- t = y + t => rewrite /t {t} in H * end. +set t := (_.+1 in X in _ + X) in H |- *. + match goal with H : x.+1 = y |- x.+1 = y + t => rewrite /t {t} in H * end. +set t := 0. match goal with t := 0 |- x.+1 = y + x.+1 => clear t end. +set t := y + _. match goal with |- x.+1 = t => rewrite /t {t} end. +set t : nat := 0. clear t. +set t : nat := (x in RHS). + match goal with |- x.+1 = y + t.+1 => rewrite /t {t} end. +set t : nat := RHS. match goal with |- x.+1 = t => rewrite /t {t} end. +(* set t := 0 + _. *) +(* set t := (x).+1 in X in _ + X in H |-. *) +(* set t := (x).+1 in X in _ = X.*) +Admitted. -- cgit v1.2.3