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Theorem pm5.6 912
Description: Conjunction in antecedent versus disjunction in consequent. Theorem *5.6 of [WhiteheadRussell] p. 125. (Contributed by NM, 8-Jun-1994.)
Assertion
Ref Expression
pm5.6

Proof of Theorem pm5.6
StepHypRef Expression
1 impexp 446 . 2
2 df-or 370 . . 3
32imbi2i 312 . 2
41, 3bitr4i 252 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  <->wb 184  \/wo 368  /\wa 369
This theorem is referenced by:  ssundif  3911  brdom3  8927  grothprim  9233  eliccelico  27588  elicoelioo  27589  ballotlemfc0  28431  ballotlemfcc  28432  elicc3  30135  icccncfext  31690  bj-ifidg  37707
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 185  df-or 370  df-an 371
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