Proof of `Regular functions are closed under map lifting`
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 99 of the paper of lax-157538, Transducers
Description
Regular functions are closed under map lifting (Lemma C.2.10, first item): map lifting commutes with composition and the primes lift (, first conjunct), through Part A's .
Attribution
Lemma C.2.10 of Transducers, Part C; formalised by Aristotle (Harmonic), , .