Lax Lean Archive

Proof of `Infiltration automata and infiltration-finite series` (5th statement)

groundedproofs/Lax619925Proofs/Infiltration.lean · lax-619925

What this proof establishes

thm✓Lax619925.Infiltration (5th statement)

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

The infiltration-finite series form an effective prevariety over a finite alphabet (paper §7, theorem): the effective prevariety infiltrationEffectivePrevarietyinfiltrationEffectivePrevariety has presentations given by infiltration automata, and its image is exactly the infiltration-finite series (by the coincidence, InfiltrationCoincidenceInfiltrationCoincidence).