Theorems · Theorem · algebraic topology
MemTrivializationAtlas.out
∀ {B : Type u_2} {F : Type u_3} {inst : TopologicalSpace B} {inst_1 : TopologicalSpace F} {E : B → Type u_5}
{inst_2 : TopologicalSpace (Bundle.TotalSpace F E)} {inst_3 : (b : B) → TopologicalSpace (E b)}
{inst_4 : FiberBundle F E} {e : Bundle.Trivialization F Bundle.TotalSpace.proj} [self : MemTrivializationAtlas e],
e ∈ trivializationAtlas F E- Defined in
- Mathlib.Topology.FiberBundle.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- MemTrivializationAtlas
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.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Bundle.TotalSpacestatement and proof · cited by 766
- FiberBundlestatement and proof · cited by 471
- Bundle.TotalSpace.projstatement and proof · cited by 447
- Bundle.Trivializationstatement and proof · cited by 324
- MemTrivializationAtlasstatement and proof · cited by 108
- FiberBundle.trivializationAtlasstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Bundle.Trivial.eq_trivializationproof · cited by 0