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Theorem syl6rbb 253
Description: A syllogism inference from two biconditionals. (Contributed by NM, 5-Aug-1993.)
Hypotheses
Ref Expression
syl6rbb.1
syl6rbb.2
Assertion
Ref Expression
syl6rbb

Proof of Theorem syl6rbb
StepHypRef Expression
1 syl6rbb.1 . . 3
2 syl6rbb.2 . . 3
31, 2syl6bb 252 . 2
43bicomd 192 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:  syl6rbbr  255  bibif  335  pm5.61  693  oranabs  829  necon4bid  2582  resopab2  5001  funconstss  5406  scancan  6331
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