Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid006052FTH0787canonicalv1

E4_iota4_near_one_lower (theorem)

/-- [III.T50] E₄·ι_τ⁴ near-identity: the product E₄(iι_τ)·ι_τ⁴ is close to 1. With 7-digit E₄ and 6-digit ι_τ, the product E₄_numer · i4N / (E₄_denom · i4D) is within ~10 ppm of 1. We prove bounds (999990, 1000010) per million. Cross-multiplied: 999990 · E4_denom · i4D < E4_numer · i4N · 1000000 and E4_numer · i4N · 1000000 < 1000010 · E4_denom · i4D -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookIII.Spectral.ModularForms
  • DeclarationE4_iota4_near_one_lower
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid006052
  • Primary alias FTH0787
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

E4_iota4_near_one_lowere4-iota4-near-one-lowerTauLib.BookIII.Spectral.ModularForms::E4_iota4_near_one_lower

Release lines

corpus_v2corpus_v3_working

Version & History

  • v1 · 2026-05-10 imported from v2 taulib declarations

Status disclaimer

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