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Theorem lem3.3.3lem3 1051
Description: Lemma for lem3.3.3 1052.
Assertion
Ref Expression
lem3.3.3lem3 (a ==5 b) =< ((a ->1 b) ^ (b ->1 a))
Proof of Theorem lem3.3.3lem3
StepHypRef Expression
1 lem3.3.3lem1 1049 . 2 (a ==5 b) =< (a ->1 b)
2 lem3.3.3lem2 1050 . 2 (a ==5 b) =< (b ->1 a)
31, 2ler2an 173 1 (a ==5 b) =< ((a ->1 b) ^ (b ->1 a))
Colors of variables: term
Syntax hints:   =< wle 2   ^ wa 7   ->1 wi1 12   ==5 wid5 22
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38
This theorem depends on definitions:  df-a 40  df-t 41  df-f 42  df-i1 44  df-le1 130  df-le2 131  df-id5 1047
This theorem is referenced by:  lem3.3.3  1052
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