Proof of `Exact conditioning costs and recovery of finite probability masses` (1st statement)
groundedproofs/Lax342547Proofs/Conditioning.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
Each conditional part is weighted by its original mass. Disjointness ensures that a retained point belongs to exactly one part, so the sum recovers the unnormalized retained law pointwise.