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Proof of `The Lyapunov exponents are limits, forwards, backwards and over balanced intervals` (7th statement)

groundedproofs/Lax606786Proofs/Cocycle/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

χkχ_k is measurable. This is where separability of XX is used twice over: once for the Grassmannian (a countable dense family of subspaces) and once for each unit sphere.