Theorem wle1 389

Description: Anything is less than or equal to 1. (Contributed by NM, 27-Sep-1997.)

Assertion

Ref	Expression
wle1	(a ≤2 1) = 1

Proof of Theorem wle1

Step	Hyp	Ref	Expression
1		or1 104	. . 3 (a ∪ 1) = 1
2	1	bi1 118	. 2 ((a ∪ 1) ≡ 1) = 1
3	2	wdf-le1 378	1 (a ≤2 1) = 1

Syntax hints:   = wb 1   ∪ wo 6  1wt 8   ≤₂ wle2 10

This theorem was proved from axioms:  ax-a1 30  ax-a2 31  ax-a4 33  ax-a5 34  ax-r1 35  ax-r2 36  ax-r4 37  ax-r5 38

This theorem depends on definitions:  df-b 39  df-a 40  df-t 41  df-f 42  df-le 129

This theorem is referenced by: (None)