46 lines
1.2 KiB
Text
46 lines
1.2 KiB
Text
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import tactic
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(*
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simple_tac = Cond(function(env, ios, s)
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local gs = s:goals()
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local n, g = gs:head()
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local r = g:conclusion():is_and()
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print ("Cond result: " .. tostring(r))
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return r
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end,
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Then(apply_tac("and_intro"), assumption_tac()),
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Then(apply_tac("or_introl"), assumption_tac()))
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simple2_tac = When(function(env, ios, s)
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local gs = s:goals()
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local n, g = gs:head()
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local r = g:conclusion():is_and()
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print ("When result: " .. tostring(r))
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return r
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end,
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apply_tac("and_intro"))
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*)
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theorem T1 (a b c : Bool) : a -> b -> c -> a ∧ b.
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(* simple_tac *)
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done
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theorem T2 (a b : Bool) : a -> a ∨ b.
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(* simple_tac *)
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done
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definition x := 10
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theorem T3 : x + 20 +2 >= 2*x.
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(* eval_tac() *)
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(* trivial_tac() *)
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done
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theorem T4 (a b c : Bool) : a -> b -> c -> a ∧ b.
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(* simple2_tac *)
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exact
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done
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theorem T5 (a b c : Bool) : a -> b -> c -> a ∨ b.
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(* simple2_tac *)
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apply or_introl
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exact
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done
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