Exercise logic.propositional.consequence

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

Derivation

Final term is not finished

p <-> r, q <-> s => ((p || q) /\ (r || s)) || (~(p || q) /\ ~(r || s))

⇒ logic.propositional.demorganor, initial=TList [TCon logic1.equivalent [TVar "p",TVar "r"],TCon logic1.equivalent [TVar "q",TVar "s"]]

p <-> r, q <-> s => ((p || q) /\ (r || s)) || (~p /\ ~q /\ ~(r || s))

⇒ logic.propositional.demorganor

p <-> r, q <-> s => ((p || q) /\ (r || s)) || (~p /\ ~q /\ ~r /\ ~s)

⇒ fakeabsorptionnot

p <-> r, q <-> s => ((p || q) /\ (r || s)) || (~p /\ ~q /\ ~r /\ ~s)