Theorems · Theorem · general topology
TopologicalSpace.Fiber.sigmaIsoHom_inj
∀ {S : Type u_1} {Y : Type u_2} (f : S → Y) [inst : TopologicalSpace S],
Function.Injective ⇑(TopologicalSpace.Fiber.sigmaIsoHom f)- Defined in
- Mathlib.Topology.FiberPartition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement and proof · cited by 7,166
- Set.preimagestatement and proof · cited by 4,946
- Set.rangestatement and proof · cited by 4,705
- ContinuousMapstatement · cited by 2,491
- Set.mem_preimageproof · cited by 190
- Set.mem_singleton_iffproof · cited by 172
- Function.Fiberstatement and proof · cited by 18
- Sigma.subtype_extproof · cited by 8
- TopologicalSpace.Fiber.sigmaIsoHomstatement and proof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.