lean2/tests/lean/subst3.lean

(** import("macros.lua") **)

Theorem T (A : Type) (p : A -> Bool) (f : A -> A -> A) : forall x y z, p (f x x) => x = y => x = z => p (f y z) :=
   For x y z, Assume (H1 : p (f x x)) (H2 : x = y) (H3 : x = z),
      Subst' H1 H2 H3.

Show Environment 1.
feat(frontends/lua/parser): allow users to specify the precedence of macros Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-25 20:27:56 +00:00			`( import("macros.lua") )`

			`Theorem T (A : Type) (p : A -> Bool) (f : A -> A -> A) : forall x y z, p (f x x) => x = y => x = z => p (f y z) :=`
chore(*): name convention, proof construnction functions/macros start with upper-case Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-04 02:11:01 +00:00			`For x y z, Assume (H1 : p (f x x)) (H2 : x = y) (H3 : x = z),`
			`Subst' H1 H2 H3.`
feat(frontends/lua/parser): allow users to specify the precedence of macros Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-25 20:27:56 +00:00
			`Show Environment 1.`