Theorems · Theorem · general topology
inseparable_iff_eq
∀ {X : Type u_1} [inst : TopologicalSpace X] [T0Space X] {x y : X}, Inseparable x y ↔ x = y- Defined in
- Mathlib.Topology.Separation.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpaceT0Space
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
- T0Spacestatement and proof · cited by 179
- Inseparablestatement · cited by 160
- nhds_injectiveproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- CauchyFilter.cauchyFilter_eqproof · cited by 0
- inseparable_eq_eqproof · cited by 0
- TopologicalSpace.IsTopologicalBasis.eq_iffproof · cited by 0