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Proof of `The Grassmannian contraction estimate`

groundedproofs/Lax606786Proofs/FoundationStatements.lean · lax-606786

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.

Read the Lean proof on GitLab

Description

As in the proof of Lemma 12 of Lee (2024): compare each unit vector of TVTV with the image of a nearly optimal vector of WW, using a (k+1)(k + 1)-dimensional subspace on which TT grows slowly.