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Prove that a Cartan matrix cannot have eigenvalue 4 #28713

@ocfnash

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@ocfnash

The task is to address the following TODO:

-- TODO Turn this `Fact` into a lemma: it is always true and may be proved via Perron-Frobenius
-- See https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Eigenvalues.20of.20Cartan.20matrices/near/516844801
variable [Fact ((4 - b.cartanMatrix).det ≠ 0)] [P.IsReduced] [P.IsIrreducible]

As noted there, some useful remarks are available on Zulip here

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