Theorems · Theorem · convex and discrete geometry
convexHull_convexHull_union_left
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid E]
[inst_3 : Module 𝕜 E] (s t : Set E), (convexHull 𝕜) ((convexHull 𝕜) s ∪ t) = (convexHull 𝕜) (s ∪ t)- Defined in
- Mathlib.Analysis.Convex.Hull
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- ClosureOperatorstatement · cited by 371
- convexHullstatement and proof · cited by 163
- ClosureOperator.closure_sup_closure_leftproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- convexHull_unionproof · cited by 1