Lax Lean Archive

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Proof of `Periodic points of an ergodic system on a Lebesgue space are null` (1st statement)

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

What this proof establishes

thm✓Lax606786.PeriodicPointsNull (1st 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

Periodic points are null, so a set of positive measure contains a piece moved off itself by each of the first NN iterates; intersecting finitely many such pieces gives disjoint iterates.