Definition df-ple 12477

Description: Define "less than or equal to" ordering extractor for posets and related structures. We use ; 1 0 for the index to avoid conflict with 1 through 9 used for other purposes. (Contributed by NM, 4-Sep-2011.) (Revised by Mario Carneiro, 14-Aug-2015.) (Revised by AV, 9-Sep-2021.)

Assertion

Ref	Expression
df-ple	|- le = Slot ; 1 0

Detailed syntax breakdown of Definition df-ple

Step	Hyp	Ref	Expression
1		cple 12464	. 2 class le
2		c1 7754	. . . 4 class 1
3		cc0 7753	. . . 4 class 0
4	2, 3	cdc 9322	. . 3 class ; 1 0
5	4	cslot 12393	. 2 class Slot ; 1 0
6	1, 5	wceq 1343	1 wff le = Slot ; 1 0

This definition is referenced by:  plendx  12550  pleid  12551  pleslid  12552