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theorem proved term proof

exists_logicRealization_of_distinction

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formal statement (Lean)

 150theorem exists_logicRealization_of_distinction
 151    (K : Type u) [Nonempty K] (h : ∃ x y : K, x ≠ y) :
 152    Nonempty (LogicRealization.{u, 0}) := by

proof body

Term-mode proof.

 153  classical
 154  rcases h with ⟨x, y, hxy⟩
 155  exact ⟨logicRealizationOfDistinction K x y hxy⟩
 156
 157/-- A more precise version retaining the chosen points. -/

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depends on (7)

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