Proof of `Independent free-direction spaces at distinct selector labels` (3rd statement)
groundedproofs/Lax342547Proofs/AtomDirections.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
At a fixed selector label, varying one base block changes the point input by exactly the direction matrix. The constant base coordinate does not change, so this formula keeps the affine shift explicit.