Exercise logic.propositional.consequence
Description
Prove that formula is a logical consequence of a set of formulas
Firsts
Rule logic.propositional.genoroverand Location [1,1] Term "Just (TList [TList [TVar \"q\"],TCon logic1.and [TCon logic1.or [TCon logic1.and [TVar \"p\",TCon logic1.and [TVar \"q\",TVar \"p\"]],TCon logic1.or [TCon logic1.not [TVar \"p\"],TCon logic1.not [TVar \"q\"]]],TCon logic1.and [TCon logic1.or [TVar \"p\",TCon logic1.not [TVar \"p\"]],TCon logic1.and [TCon logic1.or [TVar \"q\",TCon logic1.not [TVar \"p\"]],TCon logic1.or [TVar \"p\",TCon logic1.not [TVar \"p\"]]]]]])" Focus "Just (TCon logic1.and [TCon logic1.or [TVar \"p\",TCon logic1.not [TVar \"p\"]],TCon logic1.and [TCon logic1.or [TVar \"q\",TCon logic1.not [TVar \"p\"]],TCon logic1.or [TVar \"p\",TCon logic1.not [TVar \"p\"]]]])" Environment Rule logic.propositional.oroverand Location [1,1] Term "Just (TList [TList [TVar \"q\"],TCon logic1.and [TCon logic1.or [TCon logic1.and [TVar \"p\",TCon logic1.and [TVar \"q\",TVar \"p\"]],TCon logic1.or [TCon logic1.not [TVar \"p\"],TCon logic1.not [TVar \"q\"]]],TCon logic1.and [TCon logic1.or [TVar \"p\",TCon logic1.not [TVar \"p\"]],TCon logic1.or [TCon logic1.and [TVar \"q\",TVar \"p\"],TCon logic1.not [TVar \"p\"]]]]])" Focus "Just (TCon logic1.and [TCon logic1.or [TVar \"p\",TCon logic1.not [TVar \"p\"]],TCon logic1.or [TCon logic1.and [TVar \"q\",TVar \"p\"],TCon logic1.not [TVar \"p\"]]])" Environment Rule logic.propositional.oroverand Location [1,1] Term "Just (TList [TList [TVar \"q\"],TCon logic1.and [TCon logic1.or [TCon logic1.and [TVar \"p\",TCon logic1.and [TVar \"q\",TVar \"p\"]],TCon logic1.or [TCon logic1.not [TVar \"p\"],TCon logic1.not [TVar \"q\"]]],TCon logic1.and [TCon logic1.or [TCon logic1.and [TVar \"p\",TVar \"q\"],TCon logic1.not [TVar \"p\"]],TCon logic1.or [TVar \"p\",TCon logic1.not [TVar \"p\"]]]]])" Focus "Just (TCon logic1.and [TCon logic1.or [TCon logic1.and [TVar \"p\",TVar \"q\"],TCon logic1.not [TVar \"p\"]],TCon logic1.or [TVar \"p\",TCon logic1.not [TVar \"p\"]]])" Environment