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Theorem pm5.75 937
Description: Theorem *5.75 of [WhiteheadRussell] p. 126. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Andrew Salmon, 7-May-2011.) (Proof shortened by Wolf Lammen, 23-Dec-2012.)
Assertion
Ref Expression
pm5.75

Proof of Theorem pm5.75
StepHypRef Expression
1 anbi1 706 . . 3
2 orcom 387 . . . . 5
32anbi1i 695 . . . 4
4 pm5.61 712 . . . 4
53, 4bitri 249 . . 3
61, 5syl6bb 261 . 2
7 pm4.71 630 . . . 4
87biimpi 194 . . 3
98bicomd 201 . 2
106, 9sylan9bbr 700 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  <->wb 184  \/wo 368  /\wa 369
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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