Proof of `Extracting fresh label coefficients through pin quotients` (1st statement)
groundedproofs/Lax342547Proofs/QuotientExtractors.lean · lax-342547
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 pin extractor sends each selected key to zero or to the selected base ray. Quotient its output by that ray, so it kills both the pin and the full key span and descends through their sum.