Proof of `Collision and length bounds for independently sampled paths` (3rd statement)
groundedproofs/Lax263307Proofs/PathSampling.lean · lax-263307
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
Count each outcome's vertices by their indicator functions and interchange the finite sums over vertices and outcomes.