38 lines
No EOL
891 B
Text
38 lines
No EOL
891 B
Text
(* import("tactic.lua") *)
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variables p q r : Bool
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theorem T1 : p => q => p /\ q :=
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discharge (fun H1,
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discharge (fun H2,
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let H1 : p := _,
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H2 : q := _
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in and::intro H1 H2
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)).
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exact -- solve first metavar
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done
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exact -- solve second metavar
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done
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(*
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simple_tac = Repeat(imp_tac() ^ conj_tac() ^ assumption_tac())
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*)
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theorem T2 : p => q => p /\ q /\ p := _.
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simple_tac
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done
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print environment 1
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theorem T3 : p => p /\ q => r => q /\ r /\ p := _.
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(* Repeat(OrElse(imp_tac(), conj_tac(), conj_hyp_tac(), assumption_tac())) *)
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done
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-- Display proof term generated by previous tac
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print environment 1
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theorem T4 : p => p /\ q => r => q /\ r /\ p := _.
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Repeat (OrElse (apply discharge) (apply and::intro) conj_hyp exact)
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done
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-- Display proof term generated by previous tac --
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print environment 1 |