Theorems · Theorem · algebraic topology
FiberPrebundle.mem_base_pretrivializationAt
∀ {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)] (self : FiberPrebundle F E) (x : B),
x ∈ (self.pretrivializationAt x).baseSet- Defined in
- Mathlib.Topology.FiberBundle.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 766
- Bundle.TotalSpace.projstatement · cited by 447
- Bundle.Pretrivialization.baseSetstatement · cited by 80
- FiberPrebundlestatement and proof · cited by 16
- FiberPrebundle.pretrivializationAtstatement · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- FiberPrebundle.mem_pretrivializationAt_sourceproof · cited by 3
- FiberPrebundle.toFiberBundleproof · cited by 1
- FiberPrebundle.continuousOn_of_comp_rightproof · cited by 0