Theorems · Definition · general topology
BumpCovering.ind
{ι : Type u} → {X : Type v} → [inst : TopologicalSpace X] → {s : Set X} → BumpCovering ι X s → (x : X) → x ∈ s → ιIndex of a bump function such that f i =ᶠ[𝓝 x] 1.
- Defined in
- Mathlib.Topology.PartitionOfUnity
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 116 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- BumpCoveringstatement and proof · cited by 46
- BumpCovering.eventuallyEq_one'proof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- BumpCovering.eventuallyEq_onestatement · cited by 1
- BumpCovering.ind_applystatement · cited by 0
- BumpCovering.ind.congr_simpstatement and proof · cited by 0