Proof of `Map lifting preserves decompositions into primes`
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.
In the paper
- page 21 of the paper of lax-157538, Transducers
Description
Map lifting preserves decompositions into primes (Lemma A.2.4): the source proves it for a single prime — a flip-flop is reset at the separator, a reversible machine goes through the cancellation law of the book — and extends it along the composition tree.
Attribution
Lemma A.2.4 of Transducers; Lean proof by Aristotle (, ).