| Mathbox for Peter Mazsa |
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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-pet2ers | Structured version Visualization version GIF version | ||
| Description: Define the class of grade- and blocklift-stable equivalence-side general partition-equivalence spans. The equivalence-side analogue of Pet2Parts: stability of PetErs under one-step grade shift along SucMap. Ensures that the equivalence-side formulation supports the same tower/grade infrastructure as the partition-side formulation. SucMap ShiftStable is the grade axis and does not change the equivalence-vs-partition viewpoint (reinforced by pets2eq 39147). (Contributed by Peter Mazsa, 19-Feb-2026.) |
| Ref | Expression |
|---|---|
| df-pet2ers | ⊢ Pet2Ers = ( SucMap ShiftStable PetErs ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cpet2ers 38381 | . 2 class Pet2Ers | |
| 2 | csucmap 38348 | . . 3 class SucMap | |
| 3 | cpeters 38380 | . . 3 class PetErs | |
| 4 | 2, 3 | cshiftstable 38352 | . 2 class ( SucMap ShiftStable PetErs ) |
| 5 | 1, 4 | wceq 1542 | 1 wff Pet2Ers = ( SucMap ShiftStable PetErs ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: pets2eq 39147 |
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