Theorems · Theorem · general topology
Specializes.eq
∀ {X : Type u_1} [inst : TopologicalSpace X] [T1Space X] {x y : X}, x ⤳ y → x = y- Defined in
- Mathlib.Topology.Separation.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceT1Space
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- T1Spacestatement and proof · cited by 275
- Specializesstatement and proof · cited by 176
- t1Space_iff_specializes_imp_eqproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- specializes_iff_eqproof · cited by 4
- t1Space_of_injective_of_continuousproof · cited by 2
- Seminorm.map_eq_zero_of_norm_eq_zeroproof · cited by 1
- LinearMap.antilipschitz_of_comap_nhds_leproof · cited by 1