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Theorem bi3ant 280
Description: Construct a bi-conditional in antecedent position. (Contributed by Wolf Lammen, 14-May-2013.)
Hypothesis
Ref Expression
bi3ant.1
Assertion
Ref Expression
bi3ant

Proof of Theorem bi3ant
StepHypRef Expression
1 bi1 178 . . 3
21imim1i 54 . 2
3 bi2 189 . . 3
43imim1i 54 . 2
5 bi3ant.1 . . 3
65imim3i 55 . 2
72, 4, 6syl2im 34 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176
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
This theorem is referenced by:  bisym  281
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