Theorems · Theorem · convex and discrete geometry
ConvexCone.closure_eq
∀ {𝕜 : Type u_1} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] {E : Type u_2} [inst_2 : AddCommMonoid E]
[inst_3 : TopologicalSpace E] [inst_4 : ContinuousAdd E] [inst_5 : SMul 𝕜 E] [inst_6 : ContinuousConstSMul 𝕜 E]
{K L : ConvexCone 𝕜 E}, K.closure = L ↔ closure ↑K = ↑L- Defined in
- Mathlib.Analysis.Convex.Cone.Closure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement · cited by 8,199
- PartialOrderstatement and proof · cited by 6,410
- closurestatement · cited by 1,254
- ContinuousConstSMulstatement and proof · cited by 832
- ContinuousAddstatement and proof · cited by 777
- ConvexConestatement and proof · cited by 103
- SetLike.ext'_iffproof · cited by 78
- ConvexCone.closurestatement · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.