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Theorem distoah1 940
Description: Satisfaction of distributive law hypothesis.
Hypotheses
Ref Expression
distoa.1 d = (a ->2 b)
distoa.2 e = ((b v c) ->1 ((a ->2 b) ^ (a ->2 c)))
distoa.3 f = ((b v c) ->2 ((a ->2 b) ^ (a ->2 c)))
Assertion
Ref Expression
distoah1 d =< (a ->2 b)
Proof of Theorem distoah1
StepHypRef Expression
1 distoa.1 . 2 d = (a ->2 b)
21bile 142 1 d =< (a ->2 b)
Colors of variables: term
Syntax hints:   = wb 1   =< wle 2   v wo 6   ^ wa 7   ->1 wi1 12   ->2 wi2 13
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-t 41  df-f 42  df-le1 130
This theorem is referenced by: (None)
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