lean2/tests/lean/cast2.lean

Import "cast.lean"
Variable A : Type
Variable B : Type
Variable A' : Type
Variable B' : Type
Axiom H : (A -> B) = (A' -> B')
Variable a : A
Check DomInj H
Theorem BeqB' : B = B' := RanInj H a
SetOption pp::implicit true
Show DomInj H
Show RanInj H a
refactor(library/cast): use .lean file instead of .cpp file to define casting library Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-24 06:04:19 +00:00			`Import "cast.lean"`
Add Cast, DomInj and RanInj. Improve operator << for lean_frontend objects. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-09-07 01:31:47 +00:00			`Variable A : Type`
			`Variable B : Type`
			`Variable A' : Type`
			`Variable B' : Type`
fix(frontends/lean/notation): change the precedence of '->' It should match the precedence of the implication '=>'. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-06 21:23:20 +00:00			`Axiom H : (A -> B) = (A' -> B')`
Add Cast, DomInj and RanInj. Improve operator << for lean_frontend objects. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-09-07 01:31:47 +00:00			`Variable a : A`
			`Check DomInj H`
			`Theorem BeqB' : B = B' := RanInj H a`
feat(frontends/lean): rename command Set to SetOption It is not nice to have Set as a reserved keyword. See example examples/lean/set.lean Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-19 05:18:45 +00:00			`SetOption pp::implicit true`
Add Cast, DomInj and RanInj. Improve operator << for lean_frontend objects. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-09-07 01:31:47 +00:00			`Show DomInj H`
			`Show RanInj H a`