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Theorem pm5.32rd 621
Description: Distribution of implication over biconditional (deduction rule). (Contributed by NM, 25-Dec-2004.)
Hypothesis
Ref Expression
pm5.32d.1
Assertion
Ref Expression
pm5.32rd

Proof of Theorem pm5.32rd
StepHypRef Expression
1 pm5.32d.1 . . 3
21pm5.32d 620 . 2
3 ancom 437 . 2
4 ancom 437 . 2
52, 3, 43bitr4g 279 1
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:  anbi1d  685  pm5.71  902
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