lean2/tests/lean/abst.lean

Import Int.
Axiom PlusComm(a b : Int) : a + b == b + a.
Variable a : Int.
Check (Abst (fun x : Int, (PlusComm a x))).
SetOption pp::implicit true.
Check (Abst (fun x : Int, (PlusComm a x))).
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.`
feat(kernel): add abstraction (aka function extensionality) axiom Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-01 21:56:38 +00:00			`Axiom PlusComm(a b : Int) : a + b == b + a.`
			`Variable a : Int.`
			`Check (Abst (fun x : Int, (PlusComm a x))).`
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.`
feat(kernel): add abstraction (aka function extensionality) axiom Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-01 21:56:38 +00:00			`Check (Abst (fun x : Int, (PlusComm a x))).`