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Theorem u1lemle1 710
Description: L.e. to Sasaki implication.
Hypothesis
Ref Expression
ulemle1.1 a =< b
Assertion
Ref Expression
u1lemle1 (a ->1 b) = 1
Proof of Theorem u1lemle1
StepHypRef Expression
1 ulemle1.1 . . . 4 a =< b
21lecom 180 . . 3 a C b
32u1lemc4 701 . 2 (a ->1 b) = (a' v b)
41sklem 230 . 2 (a' v b) = 1
53, 4ax-r2 36 1 (a ->1 b) = 1
Colors of variables: term
Syntax hints:   = wb 1   =< wle 2  'wn 4   v wo 6  1wt 8   ->1 wi1 12
This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a3 32  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38  ax-r3 439
This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42  df-i1 44  df-le1 130  df-le2 131  df-c1 132  df-c2 133
This theorem is referenced by:  3vded12  815  3vded13  816
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