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

Proof of `Mealy machines are continuous`

groundedproofs/Lax765601Proofs/Results.lean · lax-765601

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.

Read the Lean proof on GitHub

In the paper

Description

Mealy machines are continuous (Theorem A.1.4): the product of the machine with a deterministic automaton for the output language recognises the inverse image (Transducers.Mealy.dfaCompTransducers.Mealy.dfaComp in the source).

Attribution

Theorem A.1.4 of Transducers; Lean proof by Aristotle (Transducers.mealycontinuousTransducers.mealy_continuous).