23 lines
563 B
Text
23 lines
563 B
Text
Definition f(a : Bool) : Bool := not a.
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Definition g(a b : Bool) : Bool := a \/ b.
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Theorem T1 (a b : Bool) : (g a b) => (f b) => a := _.
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apply unfold_tac
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apply imp_tac
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apply imp_tac
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apply disj_hyp_tac
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assumption
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apply absurd_tac
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done.
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(**
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simple_tac = REPEAT(unfold_tac) .. REPEAT(ORELSE(imp_tac, conj_hyp_tac, assumption_tac, absurd_tac, conj_hyp_tac, disj_hyp_tac))
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**)
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Definition h(a b : Bool) : Bool := g a b.
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Theorem T2 (a b : Bool) : (h a b) => (f b) => a := _.
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apply simple_tac
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done.
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Show Environment 1.
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