Lax Lean Archive

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Proof of `The slow spaces grow uniformly at their exponent`

groundedproofs/Lax606786Proofs/ConsequenceStatements.lean · lax-606786

What this proof establishes

no assumptions

thm✓Lax606786.SlowSpaceUniformGrowth

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

Compare ‖𝓛ω(n)∣V‖‖𝓛^{(n)}_ω|_{V}‖ with the Bernstein number ρd+1(𝓛ω(n))ρ_{d+1}(𝓛^{(n)}_ω) of the sum of the fast spaces and a line in VV, where dd is the dimension of the fast sum.