lean2/examples/ex1.lean
Leonardo de Moura 85222e13ba Add small example
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-18 11:02:29 -07:00

26 lines
401 B
Text
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

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
Show MP a b H2 H1
Check MP a b H2 H1