24 lines
573 B
Text
24 lines
573 B
Text
(** import("tactic.lua") **)
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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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unfold_all
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apply Discharge
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apply Discharge
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disj_hyp
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exact
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absurd
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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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simple_tac
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done.
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Show Environment 1.
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