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Theorem pm2.86i 92
Description: Inference based on pm2.86 94. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 3-Apr-2013.)
Hypothesis
Ref Expression
pm2.86i.1 ((φψ) → (φχ))
Assertion
Ref Expression
pm2.86i (φ → (ψχ))

Proof of Theorem pm2.86i
StepHypRef Expression
1 ax-1 6 . . 3 (ψ → (φψ))
2 pm2.86i.1 . . 3 ((φψ) → (φχ))
31, 2syl 15 . 2 (ψ → (φχ))
43com12 27 1 (φ → (ψχ))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by: (None)
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