Theorems · Theorem · algebraic topology
FiberPrebundle.mem_pretrivializationAt_source
∀ {B : Type u_2} {F : Type u_3} {E : B → Type u_5} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
[inst_2 : (x : B) → TopologicalSpace (E x)] (a : FiberPrebundle F E) (b : B) (x : E b),
⟨b, x⟩ ∈ (a.pretrivializationAt b).source- Defined in
- Mathlib.Topology.FiberBundle.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- PartialEquiv.sourcestatement · cited by 964
- Bundle.TotalSpacestatement · cited by 766
- Bundle.TotalSpace.projstatement · cited by 447
- Bundle.Pretrivialization.toPartialEquivstatement · cited by 77
- FiberPrebundlestatement and proof · cited by 16
- FiberPrebundle.pretrivializationAtstatement and proof · cited by 7
- Bundle.Pretrivialization.source_eqproof · cited by 5
- FiberPrebundle.mem_base_pretrivializationAtproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- FiberPrebundle.totalSpaceMk_preimage_sourceproof · cited by 2
- VectorPrebundle.mem_trivialization_at_sourceproof · cited by 0
- FiberPrebundle.inducing_totalSpaceMk_of_inducing_compproof · cited by 0