eq_of_forall_symmetric

∀ {α : Type u_1} [inst : UniformSpace α] [T0Space α] {x y : α},
  (∀ {V : Set (α × α)}, V ∈ uniformity α → SetRel.IsSymm V → (x, y) ∈ V) → x = y

Defined in: Mathlib.Topology.UniformSpace.Separation
Cited by: 1 results in Mathlib
Foundations: Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: UniformSpace T0Space

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