Metamath Proof Explorer


Definition df-pet2ers

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 )

Detailed syntax breakdown

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 )