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Theorem pm4.72 876
Description: Implication in terms of biconditional and disjunction. Theorem *4.72 of [WhiteheadRussell] p. 121. (Contributed by NM, 30-Aug-1993.) (Proof shortened by Wolf Lammen, 30-Jan-2013.)
Assertion
Ref Expression
pm4.72

Proof of Theorem pm4.72
StepHypRef Expression
1 olc 384 . . 3
2 pm2.621 408 . . 3
31, 2impbid2 204 . 2
4 orc 385 . . 3
5 bi2 198 . . 3
64, 5syl5 32 . 2
73, 6impbii 188 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  \/wo 368
This theorem is referenced by:  bigolden  935  cadan  1459  ssequn1  3673  ssunsn2  4189  elpaddn0  35524
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
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