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Theorem pm4.71i 613
Description: Inference converting an implication to a biconditional with conjunction. Inference from Theorem *4.71 of [WhiteheadRussell] p. 120. (Contributed by NM, 4-Jan-2004.)
Hypothesis
Ref Expression
pm4.71i.1
Assertion
Ref Expression
pm4.71i

Proof of Theorem pm4.71i
StepHypRef Expression
1 pm4.71i.1 . 2
2 pm4.71 611 . 2
31, 2mpbi 199 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by:  pm4.24  624  pm4.45  669  anabs1  783  2eu5  2288  brres  4949  dff1o2  5291  map0e  6023  nchoicelem18  6306
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