Theorems · Theorem · general topology
IsHomeomorph.sumMap
∀ {X : Type u_1} {Y : Type u_2} {Z : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
[inst_2 : TopologicalSpace Z] {W : Type u_5} [inst_3 : TopologicalSpace W] {f : X → Y} {g : Z → W},
IsHomeomorph f → IsHomeomorph g → IsHomeomorph (Sum.map f g)- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- IsHomeomorphstatement and proof · cited by 69
- IsHomeomorph.bijectiveproof · cited by 9
- IsHomeomorph.continuousproof · cited by 8
- IsHomeomorph.isOpenMapproof · cited by 6
- Function.Bijective.sumMapproof · cited by 1
- IsOpenMap.sumMapproof · cited by 1
- Continuous.sumMapproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.