Proof of `Constructing the levels of the decomposition` (2nd statement)
What this proof establishes
- thm✓
Lax606786.ExponentLimits - thm✓
Lax606786.MeasurableBases - thm✓
Lax606786.MeasurableOperatorFamilies - thm✓
Lax606786.ModifiedCocycles - thm✓
Lax606786.MultiplicityFacts - thm✓
Lax606786.RecurrenceAndInvariance - thm✓
Lax606786.SignatureShift - thm✓
Lax606786.SlowSpaceCharacterisation - thm✓
Lax606786.TopDecomposition
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
The top fast/slow splitting of the cocycle restricted to the current slow space, modified on a set of small measure so that it stays bounded there.