Theorems · Theorem · general topology
specializes_refl
∀ {X : Type u_1} [inst : TopologicalSpace X] (x : X), x ⤳ x- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Specializesstatement · cited by 176
- specializes_rflproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- specializes_of_eqproof · cited by 15
- TopCat.Presheaf.stalkSpecializes_reflstatement and proof · cited by 8
- TopologicalSpace.vietoris.specializes_of_subset_closureproof · cited by 2
- Topology.IsInducing.joinedIn_imageproof · cited by 1
- SeparationQuotient.t1Space_iffproof · cited by 0