2014-07-11 03:51:28 +00:00
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import standard
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using num tactic
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2014-07-22 16:43:18 +00:00
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variable p : num → num → num → Prop
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2014-07-11 03:51:28 +00:00
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axiom H1 : ∃ x y z, p x y z
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axiom H2 : ∀ {x y z : num}, p x y z → p x x x
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theorem tst : ∃ x, p x x x
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2014-07-12 05:35:24 +00:00
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:= obtain a b c H [fact], from H1,
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2014-07-11 03:51:28 +00:00
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by (apply exists_intro; apply H2; eassumption)
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