Theorems · Theorem · general topology
specializes_of_eq
∀ {X : Type u_1} [inst : TopologicalSpace X] {x y : X}, x = y → x ⤳ y- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 22 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_reflproof · cited by 5
Cited by15
Results whose statement or proof uses this declaration.
- t1Space_TFAEproof · cited by 8
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_congr_homstatement · cited by 4
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_hom_invstatement and proof · cited by 3
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_inv_homstatement and proof · cited by 3
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_congrstatement · cited by 2
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_congr_pointstatement · cited by 2
- Specializes.of_eqproof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_congr_assocstatement and proof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_congr_hom_assocstatement and proof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_congr_point_assocstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.range_fromSpecStalkproof · cited by 0
- AlgebraicGeometry.LocallyRingedSpace.stalkMap_hom_inv_applystatement · cited by 0