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Theorem 3anbi23d 1255
Description: Deduction conjoining and adding a conjunct to equivalences. (Contributed by NM, 8-Sep-2006.)
Hypotheses
Ref Expression
3anbi12d.1
3anbi12d.2
Assertion
Ref Expression
3anbi23d

Proof of Theorem 3anbi23d
StepHypRef Expression
1 biidd 228 . 2
2 3anbi12d.1 . 2
3 3anbi12d.2 . 2
41, 2, 33anbi123d 1252 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   w3a 934
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  df-3an 936
This theorem is referenced by:  sfineq2  4527  spaccl  6286  spacind  6287  nchoicelem3  6291
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