lean2/tests/lean/tst10.lean

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 H2 H1
Check MP H2 H1