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theorem proved term proof

nontrivial_recognition_forces_lattice

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formal statement (Lean)

 101theorem nontrivial_recognition_forces_lattice (K : Type*) :
 102    NontrivialRecognition K →
 103    ∃ (I : PrimitiveInterface K), Nonempty (RecognitionLattice I) := by

proof body

Term-mode proof.

 104  intro h
 105  obtain ⟨I, x, _y, _hdist, _hsep⟩ := nontrivial_recognition_forces_interface K h
 106  exact ⟨I, ⟨cellOf I x⟩⟩
 107
 108/-- The minimal two-outcome lattice forced by a distinguished point. -/

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depends on (9)

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