Lax Lean Archive

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

Proof of `String duplication is continuous`

groundedproofs/Lax916827Proofs/Results.lean · lax-916827

What this proof establishes

no assumptions

thm✓Lax916827.DuplicationContinuous

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

Description

String duplication is continuous (Lemma C.1.2, second half): the product of an automaton with its transition monoid (Transducers.reverseduplicatecontinuousTransducers.reverse_duplicate_continuous, second conjunct).

Attribution

Lemma C.1.2 of Transducers, Part C; formalised by Aristotle (Harmonic), PartC/ContAux.leanPartC/ContAux.lean.