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Proof of `Sums and bounds of tempered functions` (1st statement)

groundedproofs/Lax606786Proofs/Consequences/Basic.lean · lax-606786

What this proof establishes

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

A tempered function grows subexponentially along a.e. forward orbit, in the form f(σnω)≤εnf(σⁿω) ≤ ε n eventually.