Theorems · Theorem · convex and discrete geometry
convexHull_toCone_eq_sInf
Deprecated since 2026-03-30Mathlib marks this declaration as deprecated.
∀ {𝕜 : Type u_1} {M : Type u_4} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [inst_2 : IsStrictOrderedRing 𝕜]
[inst_3 : AddCommGroup M] [inst_4 : Module 𝕜 M] (s : Set M), Convex.toCone ((convexHull 𝕜) s) ⋯ = sInf {t | s ⊆ ↑t}- Defined in
- Mathlib.Geometry.Convex.Cone.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- SetLike.coestatement · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Set.ofPredstatement · cited by 6,101
- IsStrictOrderedRingstatement and proof · cited by 2,490
- InfSet.sInfstatement · cited by 935
- ClosureOperatorstatement · cited by 371
- convexHullstatement · cited by 163
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