Theorems · Theorem · real analysis
mem_posTangentConeAt_of_frequently_mem
∀ {E : Type u} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {s : Set E} {x y : E},
(∃ᶠ (t : ℝ) in nhdsWithin 0 (Set.Ioi 0), x + t • y ∈ s) → y ∈ posTangentConeAt s x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NNRealproof · cited by 4,310
- LE.le.transproof · cited by 3,151
- Filter.Eventuallyproof · cited by 3,134
- nhdsWithinstatement and proof · cited by 1,912
- Set.Ioistatement and proof · cited by 1,463
- Filter.Frequentlystatement and proof · cited by 414
- inf_le_leftproof · cited by 286
- posTangentConeAtstatement · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- one_mem_posTangentConeAt_iff_mem_closureproof · cited by 1