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Definition df-pet2ers 39141
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.)
Assertion
Ref Expression
df-pet2ers Pet2Ers = ( SucMap ShiftStable PetErs )

Detailed syntax breakdown of Definition df-pet2ers
StepHypRef Expression
1 cpet2ers 38381 . 2 class Pet2Ers
2 csucmap 38348 . . 3 class SucMap
3 cpeters 38380 . . 3 class PetErs
42, 3cshiftstable 38352 . 2 class ( SucMap ShiftStable PetErs )
51, 4wceq 1542 1 wff Pet2Ers = ( SucMap ShiftStable PetErs )
Colors of variables: wff setvar class
This definition is referenced by:  pets2eq  39147
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