Theorems · Theorem · functional analysis
balancedHull.balanced
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : SeminormedRing 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E] (s : Set E),
Balanced 𝕜 (balancedHull 𝕜 s)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Norm.normproof · cited by 5,413
- LE.le.transproof · cited by 3,151
- Set.iUnionproof · cited by 2,483
- norm_nonnegproof · cited by 725
- SeminormedRingstatement and proof · cited by 446
- smul_assocproof · cited by 150
- Balancedstatement · cited by 77
- norm_mul_leproof · cited by 31
- balancedHullstatement · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- absConvexHull_eq_convexHull_balancedHullproof · cited by 2
- balancedHull_add_subsetproof · cited by 0