Proof of `Independent blow-up classes are hereditary` (1st statement)
groundedproofs/Lax263307Proofs/BlowUpClasses.lean · lax-263307
What this proof establishes
no assumptions
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
Every explicitly constructed copy graph, relabeled to a numbered vertex set, belongs to the independent blow-up closure.
Proof strategy
Project each labeled copy to its original vertex. By definition of the comap graph, adjacency is exactly adjacency of these original vertices.
Attribution
Bonnet–Chang, Section 6.