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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Theorem simple (p q r : Bool) : (p ⇒ q) ∧ (q ⇒ r) ⇒ p ⇒ r :=
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Discharge (λ H_pq_qr, Discharge (λ H_p,
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let P_pq : (p ⇒ q) := Conjunct1 H_pq_qr,
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P_qr : (q ⇒ r) := Conjunct2 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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Show Environment 1
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