Proof of `Primal projections and preservation of effective spaces` (1st statement)
groundedproofs/Lax342547Proofs/ProjectedPins.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 tensor generated by old projected pins is also generated by the enlarged ones. Thus every old effective profile, and in particular each previously stored basis vector, remains in the new effective space.