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Proof of `Actual-mass recovery and residual bounds through finite splits` (3rd statement)

groundedproofs/Lax342547Proofs/MixtureRecovery.lean · lax-342547

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.

Read the Lean proof on GitHub

Description

Sum the pointwise mixture identity over the event and interchange the two finite sums. Each conditional leaf keeps its actual original weight.