Proof of `Construction 1` (6th statement)
groundedproofs/Lax470956Proofs/Construction1Reduce.lean · lax-470956
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.
Description
The constructed instance has one machine for each pair of colours and one more, and the number of colours is the last entry of the word; so the parameter of the image is a function of the parameter of the source alone. An unrecognized word is sent to a word with no machine at all.