ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-ple GIF version

Definition df-ple 12500
Description: Define "less than or equal to" ordering extractor for posets and related structures. We use 10 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 10

Detailed syntax breakdown of Definition df-ple
StepHypRef Expression
1 cple 12487 . 2 class le
2 c1 7775 . . . 4 class 1
3 cc0 7774 . . . 4 class 0
42, 3cdc 9343 . . 3 class 10
54cslot 12415 . 2 class Slot 10
61, 5wceq 1348 1 wff le = Slot 10
Colors of variables: wff set class
This definition is referenced by:  plendx  12573  pleid  12574  pleslid  12575
  Copyright terms: Public domain W3C validator