Exercise logic.propositional.consequence

Description
Prove that formula is a logical consequence of a set of formulas

Derivation

Final term is not finished

(p || (~p /\ ~q)) /\ (q || (~p /\ ~q)), ~p => ~q

⇒ logic.propositional.oroverand, initial=TList [TCon logic1.and [TCon logic1.or [TVar "p",TCon logic1.and [TCon logic1.not [TVar "p"],TCon logic1.not [TVar "q"]]],TCon logic1.or [TVar "q",TCon logic1.and [TCon logic1.not [TVar "p"],TCon logic1.not [TVar "q"]]]],TCon logic1.not [TVar "p"]]

(p || (~p /\ ~q)) /\ (q || ~p) /\ (q || ~q), ~p => ~q

⇒ logic.propositional.complor

(p || (~p /\ ~q)) /\ (q || ~p) /\ T, ~p => ~q

⇒ logic.propositional.truezeroand

(p || (~p /\ ~q)) /\ (q || ~p), ~p => ~q