Exercise logic.propositional.consequence

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

(q || ~q) /\ (s || ~q) /\ ((q /\ s) || ~s) => (p /\ q) <-> (p /\ s)
ready: no

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Environment

initial=TList [TCon logic1.equivalent [TVar "q",TVar "s"]]

Path 1

path[0, 0, 4, 0, 0, 1, 3, 3, 0, 1, 5, 2, 0, 2, 0, 0, 1, 0, 0]
steps19
major rules3
active labels
  • consequence
  • cnf
  • specialdistrnot

enter consequence, initial, navigator.down, navigator.down, enter cnf, check, enter eliminateimplequiv, logic.propositional.defequiv, exit eliminateimplequiv, check, enter distror, logic.propositional.oroverand, exit distror, check, navigator.down, check, enter specialdistrnot, check, logic.propositional.oroverand