19 lines
510 B
Text
19 lines
510 B
Text
import macros.
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theorem simple (p q r : Bool) : (p ⇒ q) ∧ (q ⇒ r) ⇒ p ⇒ r
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:= Assume H_pq_qr H_p,
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let P_pq := Conjunct1 H_pq_qr,
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P_qr := Conjunct2 H_pq_qr,
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P_q := MP P_pq H_p
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in MP P_qr P_q.
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setoption pp::implicit true.
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print environment 1.
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theorem simple2 (a b c : Bool) : (a ⇒ b ⇒ c) ⇒ (a ⇒ b) ⇒ a ⇒ c
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:= Assume H_abc H_ab H_a,
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let P_b := (MP H_ab H_a),
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P_bc := (MP H_abc H_a)
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in MP P_bc P_b.
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print environment 1.
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