Theorems · Theorem · convex and discrete geometry
convex_closedConvexHull
∀ {𝕜 : Type u_2} {E : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommGroup E]
[inst_3 : Module 𝕜 E] [inst_4 : TopologicalSpace E] {s : Set E}, Convex 𝕜 ((closedConvexHull 𝕜) s)- Defined in
- Mathlib.Analysis.Convex.Topology
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- Convexstatement · cited by 551
- ClosureOperatorstatement · cited by 371
- ClosureOperator.isClosed_closureproof · cited by 15
- closedConvexHullstatement and proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- convexHull_subset_closedConvexHullproof · cited by 1