Lax Lean Archive

Draft — mutable and not usable as a dependency; its citation marks the draft state.

Proof of `Regular functions are closed under composition`

groundedproofs/Lax916827Proofs/Results.lean · lax-916827

What this proof establishes

no assumptions

thm✓Lax916827.RegularComposition

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

Regular functions are closed under composition (Theorem C.1.1, the composition half): the composition rule of the closure (Transducers.regularcompTransducers.regular_comp).

Attribution

Theorem C.1.1 of Transducers, Part C; formalised by Aristotle (Harmonic), PartC/Statements.leanPartC/Statements.lean.