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Theorem pm2.43b 46
Description: Inference absorbing redundant antecedent. (Contributed by NM, 31-Oct-1995.)
Hypothesis
Ref Expression
pm2.43b.1 (ψ → (φ → (ψχ)))
Assertion
Ref Expression
pm2.43b (φ → (ψχ))

Proof of Theorem pm2.43b
StepHypRef Expression
1 pm2.43b.1 . . 3 (ψ → (φ → (ψχ)))
21pm2.43a 45 . 2 (ψ → (φχ))
32com12 27 1 (φ → (ψχ))
Colors of variables: wff set class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  trel  3852  trss  3854  elirr  4224  en2lp  4232  funfvima  5333  nnmulcl  7716  bj-nn0sucALT  9432
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