Theorems · Theorem · algebraic topology
Bundle.Trivialization.sourceHomeomorphBaseSetProd_apply
∀ {B : Type u_1} {F : Type u_2} {Z : Type u_4} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {proj : Z → B}
[inst_2 : TopologicalSpace Z] (e : Bundle.Trivialization F proj) (p : ↑e.source),
e.sourceHomeomorphBaseSetProd p = (⟨proj ↑p, ⋯⟩, (↑e ↑p).2)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement and proof · cited by 7,166
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- Homeomorphstatement · cited by 725
- Bundle.Trivializationstatement and proof · cited by 324
- Bundle.Trivialization.baseSetstatement · cited by 268
- Bundle.Trivialization.toOpenPartialHomeomorphstatement and proof · cited by 148
- Bundle.Trivialization.toFun'statement · cited by 144
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.