Lax Lean Archive

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Proof of `The signature of a modified cocycle`

groundedproofs/Lax606786Proofs/NodeStatements.lean · lax-606786

What this proof establishes

thm✓Lax606786.ModifiedCocycles

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

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Description

Once the orbit has visited AA, the modified cocycle is đ“›Ï‰(n)QÏ‰đ“›^{(n)}_ω Q_ω, whose Bernstein numbers are those of đ“›Ï‰(n)𝓛^{(n)}_ω shifted by MM up to factors of ‖Q‖‖Q‖, which temperedness makes subexponential.