Theorems · Theorem · real analysis
one_mem_posTangentConeAt_iff_mem_closure
∀ {s : Set ℝ} {a : ℝ}, 1 ∈ posTangentConeAt s a ↔ a ∈ closure (Set.Ioi a ∩ s)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- Filterproof · cited by 8,121
- nhdsproof · cited by 5,554
- NNRealproof · cited by 4,310
- mul_oneproof · cited by 3,885
- Filter.Tendstoproof · cited by 3,814
- Filter.Eventuallyproof · cited by 3,134
- add_zeroproof · cited by 2,707
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Set.Ioistatement and proof · cited by 1,463
Cited by1
Results whose statement or proof uses this declaration.
- one_mem_posTangentConeAt_iff_frequentlyproof · cited by 0