Exercise logic.propositional.consequence

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

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

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Environment

initial=TList [TCon logic1.implies [TVar "p",TCon logic1.and [TVar "q",TVar "r"]]]

Path 1

path[0, 0, 4, 0, 0, 1, 3, 0, 0, 1, 5, 2, 0, 3, 0, 0, 0, 0, 1, 3, 3]
steps21
major rules3
active labels
  • consequence

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