Theorems · Theorem · general topology
GeneralizingMap.comp
∀ {X : Type u_1} {Y : Type u_2} {Z : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
[inst_2 : TopologicalSpace Z] {f : X → Y} {g : Y → Z}, GeneralizingMap f → GeneralizingMap g → GeneralizingMap (g ∘ f)- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.imageproof · cited by 5,609
- Set.image_compproof · cited by 142
- StableUnderGeneralizationproof · cited by 24
- GeneralizingMapstatement and proof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- TopologicalSpace.IsOpenCover.generalizingMap_iff_compproof · cited by 0
- Algebra.HasGoingDown.transproof · cited by 0