Exercise logic.propositional.consequence

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

Derivation

(p -> q) /\ ~q => ~p

⇒ logic.propositional.defimpl

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

⇒ fakeabsorptionnot

~p /\ ~q => ~p

⇒ conj-elim

~p => ~p