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Proof of `Independent sets lift and project through a blow-up` (2nd 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 complete lift of an independent set is independent.

Proof strategy

Copies of a common original vertex have no edge between them. For different original vertices, independence follows from independence of the original set.

Attribution

Bonnet–Chang, Section 6.