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Mirrors > Home > ILE Home > Th. List > df-ple | GIF version |
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.) |
Ref | Expression |
---|---|
df-ple | ⊢ le = Slot ;10 |
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 ;10 |
5 | 4 | cslot 12393 | . 2 class Slot ;10 |
6 | 1, 5 | wceq 1343 | 1 wff le = Slot ;10 |
Colors of variables: wff set class |
This definition is referenced by: plendx 12550 pleid 12551 pleslid 12552 |
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