2014-01-05 16:52:46 +00:00
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-- Annotating lemmas
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2013-09-06 17:06:26 +00:00
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2014-01-05 20:05:08 +00:00
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theorem simple (p q r : Bool) : (p ⇒ q) ∧ (q ⇒ r) ⇒ p ⇒ r :=
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2014-01-06 03:10:21 +00:00
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discharge (λ H_pq_qr, discharge (λ H_p,
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let P_pq : (p ⇒ q) := and::eliml H_pq_qr,
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P_qr : (q ⇒ r) := and::elimr H_pq_qr,
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P_q : q := mp P_pq H_p
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in mp P_qr P_q))
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2013-09-06 17:06:26 +00:00
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2014-01-05 20:05:08 +00:00
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print environment 1
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