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Proof of `Independent sets lift and project through a blow-up` (5th statement)

groundedproofs/Lax263307Proofs/BlowUpIndependentSets.lean · lax-263307

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

The multiplicities of the projected vertices bound the number of selected copies.

Proof strategy

Every selected copy belongs to the complete lift of the projection. Compare cardinalities and use the lift-cardinality statement.

Attribution

Bonnet–Chang, Section 6.