Proof of `Finite peeling into disjoint exact-pin leaves`
groundedproofs/Lax342547Proofs/LeafPartition.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
Induct on the remaining finite support. If its mass exceeds delta, extract a nonempty leaf and remove its entire support. The induction gives disjointness, the residual mass bound, and all original leaf masses.