Theorems · Theorem · global analysis
ContDiffBump.eventuallyEq_one_of_mem_ball
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E] {c : E}
(f : ContDiffBump c) {x : E}, x ∈ Metric.ball c f.rIn → ↑f =ᶠ[nhds x] 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- nhdsstatement · cited by 5,554
- Filter.EventuallyEqstatement · cited by 1,912
- Metric.ballstatement and proof · cited by 735
- Filter.mem_of_supersetproof · cited by 308
- ContDiffBumpstatement and proof · cited by 61
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.toFunstatement · cited by 43
- ContDiffBump.rInstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- ContDiffBump.eventuallyEq_oneproof · cited by 0