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Proof of `Rational relations are closed under composition`

groundedproofs/Lax132576Proofs/Results.lean · lax-132576

What this proof establishes

no assumptions

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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In the paper

Description

Rational relations are closed under composition (Theorem B.1.4): the product construction on ε-normalised automata (Transducers.rationalRelcompTransducers.rationalRel_comp).

Attribution

Theorem B.1.4 of Transducers; Lean proof by Aristotle (PartB/RatComp.leanPartB/RatComp.lean).