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elliotglazer/nf-not-wpp

Elliot Glazer

Palomar Registrypalomar/PALOMAR-2026-08-27-000005Aug 27, 2026math.LOscore 0

A Lean 4 proof that standard first-order New Foundations (NF), axiomatized by extensionality and the full stratified-comprehension schema, syntactically derives the negation of the Weak Partition Principle (WPP). The translated Metamath proof enters through eleven literal Hailperin sentences, which are used internally as a finite-basis bridge and are proved deductively equivalent to standard NF.

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