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| Mirrors > Home > MPE Home > Th. List > df-ple | Structured version Visualization version GIF version | ||
| Description: Define "less than or equal to" ordering extractor for posets and related structures. (Contributed by NM, 4-Sep-2011.) (Revised by Mario Carneiro, 14-Aug-2015.) (Revised by AV, 9-Sep-2021.) Use its index-independent form pleid 17411 instead. (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-ple | ⊢ le = Slot ;10 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cple 17304 | . 2 class le | |
| 2 | c1 11156 | . . . 4 class 1 | |
| 3 | cc0 11155 | . . . 4 class 0 | |
| 4 | 2, 3 | cdc 12733 | . . 3 class ;10 |
| 5 | 4 | cslot 17218 | . 2 class Slot ;10 |
| 6 | 1, 5 | wceq 1540 | 1 wff le = Slot ;10 |
| Colors of variables: wff setvar class |
| This definition is referenced by: plendx 17410 pleid 17411 isposixOLD 18371 oppgleOLD 32952 |
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