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-rw-r--r--mathcomp/ssrtest/set_pattern.v52
1 files changed, 52 insertions, 0 deletions
diff --git a/mathcomp/ssrtest/set_pattern.v b/mathcomp/ssrtest/set_pattern.v
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+++ b/mathcomp/ssrtest/set_pattern.v
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+Require Import ssreflect.
+
+Ltac T1 x := match goal with |- _ => 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 ssrnat.
+
+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 admit.
+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.
+
+
+
+