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Mirrors > Home > ILE Home > Th. List > df-ple | Unicode version |
Description: Define "less than or equal to" ordering extractor for posets and related structures. We use ; for the index to avoid conflict with through 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 | Slot ; |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cple 12487 | . 2 | |
2 | c1 7775 | . . . 4 | |
3 | cc0 7774 | . . . 4 | |
4 | 2, 3 | cdc 9343 | . . 3 ; |
5 | 4 | cslot 12415 | . 2 Slot ; |
6 | 1, 5 | wceq 1348 | 1 Slot ; |
Colors of variables: wff set class |
This definition is referenced by: plendx 12573 pleid 12574 pleslid 12575 |
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