Proof of `Independent Set Reduces to Multicoloured Clique` (6th statement)
groundedproofs/Lax496464Proofs/WHierarchy/MccNP/ParameterPreservedProof.lean · lax-496464
What this proof establishes
no assumptions
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
The parameter is preserved, : the word of an independent-set instance is mapped to the word of its multicoloured graph, whose last entry is the threshold, which is the parameter of the independent-set word.