While this submission is a draft, it cannot be used by other submissions.

Proof of `A class width bound obstructs induced route sampling` (3rd statement)

groundedproofs/Lax263307Proofs/InducedEmbeddingWidth.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

Discard long routes and transfer the class width bound to the remaining source graph. Its degrees and edge count cannot increase. Restore deleted edges with the proved edge-deletion bound, then use the definition of treewidth as the minimum admitted decomposition width.