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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 17058 instead. (New usage is discouraged.) |
Ref | Expression |
---|---|
df-ple | ⊢ le = Slot ;10 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cple 16950 | . 2 class le | |
2 | c1 10856 | . . . 4 class 1 | |
3 | cc0 10855 | . . . 4 class 0 | |
4 | 2, 3 | cdc 12419 | . . 3 class ;10 |
5 | 4 | cslot 16863 | . 2 class Slot ;10 |
6 | 1, 5 | wceq 1541 | 1 wff le = Slot ;10 |
Colors of variables: wff setvar class |
This definition is referenced by: plendx 17057 pleid 17058 0posOLD 18021 isposixOLD 18025 oppgleOLD 31218 |
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