Lax Lean Archive

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Proof of `Gelfand numbers, Bernstein numbers and the compactness seminorm` (3rd statement)

groundedproofs/Lax606786Proofs/Appendix.lean · lax-606786

What this proof establishes

thm✓Lax606786.GelfandBernsteinComparison (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 GitLab

Description

Lemma 32 of Lee (2024), with projections of controlled norm from Auerbach's lemma.