Lax Lean Archive

Proof of `Independent Set Is W[1]-Complete` (3rd statement)

groundedproofs/Lax496464Proofs/WHierarchy/Reductions/CliqueIS/Final.lean · lax-496464

What this proof establishes

thm✓Lax496464.WH_D11_IndependentSet (3rd 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

Description

The same map, (G,k)↦(Gc,k)(G, k) ↦ (Gᶜ, k): an independent set of GG is a clique of GcGᶜ.