Proof of `Auerbach's lemma` (1st statement)
groundedproofs/Lax606786Proofs/FoundationStatements.lean · lax-606786
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
Auerbach's argument: a basis maximising the determinant against a fixed volume form.