Lax Lean Archive

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Proof of `Rokhlin's lemma`

groundedproofs/Lax606786Proofs/ErgodicStatements.lean · lax-606786

What this proof establishes

no assumptions

thm✓Lax606786.RokhlinLemma

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

Following Rudolph (1990): a backward Vitali covering by long orbit windows, off the null set of periodic points, is cut into blocks of height nn; the bottoms of the blocks form the base of the tower.