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Theorem or42 85
Description: Rearrange disjuncts.
Assertion
Ref Expression
or42 ((a v b) v (c v d)) = ((a v d) v (b v c))
Proof of Theorem or42
StepHypRef Expression
1 ax-a2 31 . . 3 (c v d) = (d v c)
21lor 70 . 2 ((a v b) v (c v d)) = ((a v b) v (d v c))
3 or4 84 . 2 ((a v b) v (d v c)) = ((a v d) v (b v c))
42, 3ax-r2 36 1 ((a v b) v (c v d)) = ((a v d) v (b v c))
Colors of variables: term
Syntax hints:   = wb 1   v wo 6
This theorem was proved from axioms:  ax-a2 31  ax-a3 32  ax-r1 35  ax-r2 36  ax-r5 38
This theorem is referenced by:  wdcom  1103
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