Theorems · Theorem · convex and discrete geometry
Convex.convexIndependent_extremePoints
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
[inst_3 : AddCommGroup E] [inst_4 : Module 𝕜 E] {s : Set E}, Convex 𝕜 s → ConvexIndependent 𝕜 Subtype.val- Defined in
- Mathlib.Analysis.Convex.Independent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Fieldstatement and proof · cited by 7,404
- LE.le.transproof · cited by 3,151
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Convexstatement and proof · cited by 551
- Set.mem_singletonproof · cited by 183
- convexHullproof · cited by 163
- Set.sdiff_subsetproof · cited by 156
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