Definition df-les 27723

Description: Define the surreal less-than or equal predicate. Compare df-le 11176. (Contributed by Scott Fenton, 8-Dec-2021.)

Assertion

Ref	Expression
df-les	⊢ ≤s = (( No × No ) ∖ ◡ <s )

Detailed syntax breakdown of Definition df-les

Step	Hyp	Ref	Expression
1		cles 27722	. 2 class ≤s
2		csur 27617	. . . 4 class No
3	2, 2	cxp 5622	. . 3 class ( No × No )
4		clts 27618	. . . 4 class <s
5	4	ccnv 5623	. . 3 class ◡ <s
6	3, 5	cdif 3887	. 2 class (( No × No ) ∖ ◡ <s )
7	1, 6	wceq 1542	1 wff ≤s = (( No × No ) ∖ ◡ <s )

This definition is referenced by:  lenlts  27730