Proof of `Asteroidal cycle triples obstruct induced minors` (1st statement)

groundedproofs/Lax762056Proofs/Obstruction.lean · lax-762056

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

In the paper

  • page 5 of this submission's paper

Description

Each cycle's branch sets contain opposite sides of a column. The three columns are distinct. The middle column is contained in the middle cycle's closed neighborhood and separates the other two cycles, contradicting their avoiding path.