Natural latents: a bound below seven

12. The table form🔗

This page describes how NaturalLatents/Main.lean derives the two propositions of NaturalLatents/Statement.lean, TableClaim and ScoreClaim, from the bound in nats T(p)\le c\,\tau(p) that the assembly NaturalLatents.General.T_le_of_connected (NaturalLatents/General/Pricing.lean) proves on connected supports, bits_of_nats converts to bits and extension_of_connected extends to every finite law. It is step 10 of the route. This chapter describes the formal argument. Its last section states exactly what the Lean proves about the frozen optima and definitions. The bridge files in NaturalLatents/Upstream/ are adapted from pull request #6 by Jeremy Gillen to DLorell/stochtodet (see the upstream page). Here c=13999/2000, the constant NaturalLatents.c.

  1. 12.1. 6. From latents to probability tables
  2. 12.2. What the formal argument proves