2013-11-29 05:48:30 +00:00
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Set: pp::colors
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Set: pp::unicode
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Assumed: p
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Assumed: q
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Assumed: r
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Proved: T1
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Proved: T2
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2014-01-05 20:05:08 +00:00
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theorem T2 : p ⇒ q ⇒ p ∧ q ∧ p := Discharge (λ H : p, Discharge (λ H::1 : q, Conj H (Conj H::1 H)))
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2013-11-29 05:48:30 +00:00
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Proved: T3
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2014-01-05 20:05:08 +00:00
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theorem T3 : p ⇒ p ∧ q ⇒ r ⇒ q ∧ r ∧ p :=
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2013-11-29 05:48:30 +00:00
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Discharge
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(λ H : p,
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2013-12-07 00:31:13 +00:00
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Discharge (λ H::1 : p ∧ q, Discharge (λ H::2 : r, Conj (Conjunct2 H::1) (Conj H::2 (Conjunct1 H::1)))))
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2013-12-26 23:54:53 +00:00
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Proved: T4
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2014-01-05 20:05:08 +00:00
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theorem T4 : p ⇒ p ∧ q ⇒ r ⇒ q ∧ r ∧ p :=
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2013-12-26 23:54:53 +00:00
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Discharge
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(λ H : p,
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Discharge
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(λ H::1 : p ∧ q,
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Discharge (λ H::2 : r, Conj (Conjunct2 H::1) (let H::1::1 := Conjunct1 H::1 in Conj H::2 H::1::1))))
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