lean2/examples/lean/ex4.lean

Import Int
Import tactic
Definition a : Nat := 10
(* Trivial indicates a "proof by evaluation" *)
Theorem T1 : a > 0 := Trivial
Theorem T2 : a - 5 > 3 := Trivial
(* The next one is commented because it fails *)
(* Theorem T3 : a > 11 := Trivial *)
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`
refactor(library/arith): move int and nat declarations to .lean files. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-30 11:29:20 +00:00			`Import tactic`
Add proof by evaluation examples Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-09-06 01:55:22 +00:00			`Definition a : Nat := 10`
			`(* Trivial indicates a "proof by evaluation" *)`
feat(library/elaborator): use is_convertible for constraints without metavariables in the elaborator Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-01 11:14:01 +00:00			`Theorem T1 : a > 0 := Trivial`
			`Theorem T2 : a - 5 > 3 := Trivial`
fix(examples/lean): add all examples to test suite Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-06 05:54:55 +00:00			`(* The next one is commented because it fails *)`
			`(* Theorem T3 : a > 11 := Trivial *)`