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Theorem ibibr 332
Description: Implication in terms of implication and biconditional. (Contributed by NM, 29-Apr-2005.) (Proof shortened by Wolf Lammen, 21-Dec-2013.)
Assertion
Ref Expression
ibibr

Proof of Theorem ibibr
StepHypRef Expression
1 pm5.501 330 . . 3
2 bicom 191 . . 3
31, 2syl6bb 252 . 2
43pm5.74i 236 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:  tbt  333
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