16 lines
No EOL
651 B
Text
16 lines
No EOL
651 B
Text
Variable N : Type
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Variables a b c : N
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Variables P : N -> N -> N -> Bool
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Axiom H3 : P a b c
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Theorem T1 : exists x y z : N, P x y z := @ExistsIntro N (fun x : N, exists y z : N, P x y z) a
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(@ExistsIntro N _ b
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(@ExistsIntro N (fun z : N, P a b z) c H3))
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Theorem T2 : exists x y z : N, P x y z := ExistsIntro a (ExistsIntro b (ExistsIntro c H3))
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Theorem T3 : exists x y z : N, P x y z := ExistsIntro _ (ExistsIntro _ (ExistsIntro _ H3))
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Theorem T4 (H : P a a b) : exists x y z, P x y z := ExistsIntro _ (ExistsIntro _ (ExistsIntro _ H))
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Show Environment 4 |