Proof of `Numerical cross tables, injection flags, and unary admissibility` (1st statement)
groundedproofs/Lax342547Proofs/SmallTables.lean · lax-342547
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
On each leaf a pinned input has its stored image. Substituting that image in each cross orientation leaves a condition on the other unit alone. If both inputs are pinned, the two substitutions give the same numerical test, so no additional joint orientation filter is necessary.