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Theorem 3bitrri 196
Description: A chained inference from transitive law for logical equivalence. (Contributed by NM, 4-Aug-2006.)
Hypotheses
Ref Expression
3bitri.1
3bitri.2
3bitri.3
Assertion
Ref Expression
3bitrri

Proof of Theorem 3bitrri
StepHypRef Expression
1 3bitri.3 . 2
2 3bitri.1 . . 3
3 3bitri.2 . . 3
42, 3bitr2i 174 . 2
51, 4bitr3i 175 1
Colors of variables: wff set class
Syntax hints:   wb 98
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  reu8  2731  unass  3094  ssin  3153  difab  3200  iunss  3689  poirr  4035  cnvuni  4464  dfco2  4763  dff1o6  5359  elznn0  8036  bj-ssom  9395
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