Theorems · Theorem · general topology
T2Quotient.mk_eq
∀ {X : Type u_1} [inst : TopologicalSpace X] {x y : X},
T2Quotient.mk x = T2Quotient.mk y ↔ ∀ (s : Setoid X), T2Space (Quotient s) → s x y- Defined in
- Mathlib.Topology.Separation.Hausdorff
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- T2Spacestatement · cited by 1,351
- T2Quotient.mkstatement · cited by 8
- T2Quotientstatement · cited by 8
- Setoid.quotient_mk_sInf_eqproof · cited by 1
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