Proof of `Concrete coordinates, quadratic testers, and the self-Gram form` (1st statement)
groundedproofs/Lax342547Proofs/ConcreteGeometry.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
Every coordinate read by the ordered tester and # forms is unchanged by the Z-coordinate map. This proves the matrix identity for any linear Z change, in particular for every invertible one.