Lax Lean Archive

Proof of `Every Instance May Be Assumed to Have Distinct Endpoints` (2nd statement)

groundedproofs/Lax496464Proofs/Section4.lean · lax-496464

What this proof establishes

no assumptions

thm✓Lax496464.Normalization (2nd statement)

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 4 of this submission's paper

Description

Scaling multiplies both sides of Condition 1 by n+1n+1 and leaves the shift j<n+1j < n+1 too small to matter, and it preserves the conflict relation, hence Condition 2.