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theorem proved term proof

equalityDistinction_irrefl

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formal statement (Lean)

  71theorem equalityDistinction_irrefl (K : Type*) :
  72    ∀ x : K, ¬ equalityDistinction K x x := by

proof body

Term-mode proof.

  73  intro x h
  74  exact h rfl
  75
  76/-- Symmetry of the canonical distinction: distinguishability does not
  77depend on argument order. This is symmetry of disequality, derived from
  78the symmetric definition of equality. -/

depends on (16)

Lean names referenced from this declaration's body.