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theorem proved term proof

recognitionThetaModularIdentity_iff_prefactor

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formal statement (Lean)

  34theorem recognitionThetaModularIdentity_iff_prefactor :
  35    RecognitionThetaModularIdentity ↔ Nonempty RecognitionThetaPrefactor := by

proof body

Term-mode proof.

  36  constructor
  37  · intro h
  38    rcases h.prefactor with ⟨ρ, hcont, hinv⟩
  39    exact ⟨{ ρ := ρ, continuous := hcont, inversion := hinv }⟩
  40  · intro h
  41    rcases h with ⟨p⟩
  42    exact ⟨⟨p.ρ, p.continuous, p.inversion⟩⟩
  43
  44/-- Direct constructor for the modular-identity bridge. -/

used by (2)

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depends on (6)

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