27 lines
401 B
Text
27 lines
401 B
Text
|
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
|