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Theorem biimpac 472
Description: Inference from a logical equivalence. (Contributed by NM, 3-May-1994.)
Hypothesis
Ref Expression
biimpa.1 (φ → (ψχ))
Assertion
Ref Expression
biimpac ((ψ φ) → χ)

Proof of Theorem biimpac
StepHypRef Expression
1 biimpa.1 . . 3 (φ → (ψχ))
21biimpcd 215 . 2 (ψ → (φχ))
32imp 418 1 ((ψ φ) → χ)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 176   wa 358
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by:  gencbvex2  2902  2reu5  3044  vfinspsslem1  4550  phi11lem1  4595  0cnelphi  4597  ideqg2  4869  nfunsn  5353  leltctr  6212  tlecg  6230  nchoicelem3  6291
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