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 ). (Contributed by Peter Mazsa, 19-Feb-2026)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-pet2ers | |- Pet2Ers = ( SucMap ShiftStable PetErs ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cpet2ers | |- Pet2Ers |
|
| 1 | csucmap | |- SucMap |
|
| 2 | cpeters | |- PetErs |
|
| 3 | 1 2 | cshiftstable | |- ( SucMap ShiftStable PetErs ) |
| 4 | 0 3 | wceq | |- Pet2Ers = ( SucMap ShiftStable PetErs ) |