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Theorem bibi1i 305
Description: Inference adding a biconditional to the right in an equivalence. (Contributed by NM, 5-Aug-1993.)
Hypothesis
Ref Expression
bibi.a
Assertion
Ref Expression
bibi1i

Proof of Theorem bibi1i
StepHypRef Expression
1 bicom 191 . 2
2 bibi.a . . 3
32bibi2i 304 . 2
4 bicom 191 . 2
51, 3, 43bitri 262 1
Colors of variables: wff setvar class
Syntax hints:   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:  bibi12i  306  biluk  899  xorass  1308  hadbi  1387  sbrbis  2073  ssequn1  3433  axssetprim  4092
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