lean2/tests/lean/tst10.lean
Leonardo de Moura 51640ecff8 Move files in examples directory to tests directory. They are not real examples
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-31 19:16:30 -07:00

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Variable a : Bool
Variable b : Bool
(* Conjunctions *)
Show a && b
Show a && b && a
Show a /\ b
Show a ∧ b
Show (and a b)
Show and a b
(* Disjunctions *)
Show a || b
Show a \/ b
Show a b
Show (or a b)
Show or a (or a b)
(* Simple Formulas *)
Show a => b => a
Check a => b
Eval a => a
Eval true => a
(* Simple proof *)
Axiom H1 : a
Axiom H2 : a => b
Check MP::explicit
Show MP H2 H1
Check MP H2 H1