Theorems · Theorem · global analysis
tangentConeAt_univ
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : DivisionSemiring 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace 𝕜] [inst_4 : TopologicalSpace E] [ContinuousSMul 𝕜 E] {x : E} [(nhdsWithin 0 {0}ᶜ).NeBot],
tangentConeAt 𝕜 Set.univ x = Set.univ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Top.topproof · cited by 9,680
- Set.ofPredproof · cited by 6,101
- Set.univstatement and proof · cited by 3,945
- Compl.complstatement and proof · cited by 2,925
- nhdsWithinstatement and proof · cited by 1,912
- ContinuousSMulstatement and proof · cited by 1,016
- Filter.NeBotstatement and proof · cited by 853
- DivisionSemiringstatement and proof · cited by 216
Cited by3
Results whose statement or proof uses this declaration.
- uniqueDiffWithinAt_univproof · cited by 16
- posTangentConeAt_univproof · cited by 1
- tangentConeAt_of_mem_nhdsproof · cited by 0