Lax Lean Archive

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Proof of `Elementary identities for iterates of a cocycle` (3rd statement)

groundedproofs/Lax606786Proofs/Backward.lean · lax-606786

What this proof establishes

no assumptions

thm✓Lax606786.CocycleIterates (3rd 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

A backward history is carried back to its endpoint by the cocycle: đ“›Ïƒâˆ’nω(n)yn=y0𝓛^{(n)}_{σ^{-n}ω} y_n = y_0.