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Theorem pm2.86i 64
Description: Inference based on pm2.86 63.
Hypothesis
Ref Expression
pm2.86i.1 ((φψ) → (φχ))
Assertion
Ref Expression
pm2.86i (φ → (ψχ))

Proof of Theorem pm2.86i
StepHypRef Expression
1 pm2.86i.1 . 2 ((φψ) → (φχ))
2 pm2.86 63 . 2 (((φψ) → (φχ)) → (φ → (ψχ)))
31, 2ax-mp 6 1 (φ → (ψχ))
Colors of variables: wff set class
Syntax hints:   → wi 2
This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-mp 6
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