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

Proof of `The map lifting of a continuous function is continuous`

groundedproofs/Lax916827Proofs/Results.lean · lax-916827

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

The map lifting of a continuous function is continuous (Lemma C.1.3): the block automaton guessing the states at the ends of every block (Transducers.mapLiftcontinuousTransducers.mapLift_continuous), through Part A's mapLifteqmapLift_eq.

Attribution

Lemma C.1.3 of Transducers, Part C; formalised by Aristotle (Harmonic), PartC/ContAux.leanPartC/ContAux.lean.