Theorem u3lemle2 717

Description: Kalmbach implication to l.e. (Contributed by NM, 11-Jan-1998.)

Hypothesis

Ref	Expression
u3lemle2.1	(a →3 b) = 1

Assertion

Ref	Expression
u3lemle2	a ≤ b

Proof of Theorem u3lemle2

Step	Hyp	Ref	Expression
1		u3lemle2.1	. 2 (a →3 b) = 1
2	1	i3le 515	1 a ≤ b

Syntax hints:   = wb 1   ≤ wle 2  1wt 8   →₃ wi3 14

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-i3 46  df-le1 130  df-le2 131  df-c1 132  df-c2 133

This theorem is referenced by: (None)