Exercise logic.propositional.consequence

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

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

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Environment

initial=TList [TCon logic1.or [TCon logic1.and [TCon logic1.not [TVar "p"],TCon logic1.implies [TVar "r",TVar "s"]],TCon logic1.and [TVar "q",TCon logic1.implies [TVar "r",TVar "s"]]]]

Path 1

path[0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 2, 0, 2, 0, 3, 0]
steps16
major rules1
active labels
  • consequence
  • eliminateimplequiv

enter consequence, initial, navigator.down, navigator.down, enter cnf, exit cnf, navigator.up, navigator.up, navigator.downlast, enter cnf, check, navigator.down, navigator.right, check, enter eliminateimplequiv, logic.propositional.defimpl