Proof of `The finite simultaneous unary mixer estimate` (2nd statement)
groundedproofs/Lax342547Proofs/UnaryMixers.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
If every mixer choice failed, the bad event would be the whole finite probability space and would have mass one. The explicit union bound below one therefore leaves a simultaneous successful choice.