lean2/tests/lean/ho.lean

Import Int.
Variable g {A : Type} (a : A) : A
Variable a : Int
Variable b : Int
Axiom H1 : a = b
Axiom H2 : (g a) > 0
Theorem T1 : (g b) > 0 := Subst H2 H1
Show Environment 2
chore(builtin): rename nat, int and real modules to Nat, Int and Real. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-01 21:52:25 +00:00			`Import Int.`
test(frontends/lean): add example showing higher order matching is working, and is useful Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-10-25 03:18:48 +00:00			`Variable g {A : Type} (a : A) : A`
			`Variable a : Int`
			`Variable b : Int`
			`Axiom H1 : a = b`
			`Axiom H2 : (g a) > 0`
feat(frontends/lean): make the 'expression template' argument in Subst implicit because higher-order matching can infer it. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-10-30 17:45:34 +00:00			`Theorem T1 : (g b) > 0 := Subst H2 H1`
test(frontends/lean): add example showing higher order matching is working, and is useful Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-10-25 03:18:48 +00:00			`Show Environment 2`