Theorem le1 146

Description: Anything is less than or equal to 1. (Contributed by NM, 30-Aug-1997.)

Assertion

Ref	Expression
le1	a ≤ 1

Proof of Theorem le1

Step	Hyp	Ref	Expression
1		or1 104	. 2 (a ∪ 1) = 1
2	1	df-le1 130	1 a ≤ 1

Syntax hints:   ≤ wle 2  1wt 8

This theorem was proved from axioms:  ax-a2 31  ax-a4 33  ax-r1 35  ax-r2 36  ax-r5 38

This theorem depends on definitions:  df-t 41  df-le1 130

This theorem is referenced by:  ka4lemo  228  wlem1  243  bina5  286  wql1lem  287  wql2lem  288  womle2a  295  womle2b  296  womle3b  297  nom23  316  2vwomlem  365  wr5-2v  366  wom3  367  wdf-c2  384  ska2  432  ska4  433  wom2  434  ka4ot  435  cmtr1com  493  i3or  497  u3lemax4  796  u3lemax5  797  3vded11  814  3vded12  815  3vroa  831  oa3-2to4  988  oa3-u1  991  oa3-u2  992  lem3.3.5lem  1054  lem4.6.7  1103  wdwom  1106  dp15lema  1154  xdp15  1199  xxdp15  1202  xdp45lem  1204  xdp43lem  1205  xdp45  1206  xdp43  1207  3dp43  1208