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Theorem u1lem9b 778
Description: Lemma used in study of orthoarguesian law. Equation 4.11 of [MegPav2000] p. 23. This is the second part of the inequality.
Assertion
Ref Expression
u1lem9b a' =< (a ->1 b)
Proof of Theorem u1lem9b
StepHypRef Expression
1 leo 158 . 2 a' =< (a' v (a ^ b))
2 df-i1 44 . . 3 (a ->1 b) = (a' v (a ^ b))
32ax-r1 35 . 2 (a' v (a ^ b)) = (a ->1 b)
41, 3lbtr 139 1 a' =< (a ->1 b)
Colors of variables: term
Syntax hints:   =< wle 2  'wn 4   v wo 6   ^ wa 7   ->1 wi1 12
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-a 40  df-i1 44  df-le1 130  df-le2 131
This theorem is referenced by:  u1lem9ab  779  kb10iii  893  oasr  926  axoa4  1034  lem4.6.3le2  1083
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