Lax Lean Archive

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Proof of `The exponents of an Oseledets decomposition` (1st statement)

groundedproofs/Lax606786Proofs/ConsequenceStatements.lean · lax-606786

What this proof establishes

no assumptions

thm✓Lax606786.DecompositionExponents (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.

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Description

On the zero space L=1L = 1 and only l=1l = 1 is allowed; otherwise extend to a total decomposition, whose exponents decrease.