Proof of `Measurable bases and measurable splittings of subspaces` (2nd statement)
groundedproofs/Lax606786Proofs/GrassmannianContraction.lean · lax-606786
What this proof establishes
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
Select a unit vector of each subspace measurably from a countable dense family, then cut it off with a functional from a countable separating family.