Theorems · Definition · functional analysis
balancedHull
(𝕜 : Type u_1) → {E : Type u_2} → [SeminormedRing 𝕜] → [SMul 𝕜 E] → Set E → Set EThe smallest balanced superset of s.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedRingSMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Norm.normproof · cited by 5,413
- Set.iUnionproof · cited by 2,483
- SeminormedRingstatement and proof · cited by 446
Cited by12
Results whose statement or proof uses this declaration.
- mem_balancedHull_iffstatement · cited by 5
- subset_balancedHullstatement · cited by 3
- Balanced.balancedHull_subset_of_subsetstatement and proof · cited by 3
- balancedHull.balancedstatement · cited by 2
- absConvexHull_eq_convexHull_balancedHullstatement and proof · cited by 2
- IsOpen.balancedHullstatement · cited by 1
- balancedHull_convexHull_subset_absConvexHullstatement · cited by 1
- balancedHull_subset_convexHull_union_negstatement and proof · cited by 1
- convexHull_union_neg_eq_absConvexHullproof · cited by 0
- balancedHull_add_subsetstatement · cited by 0
- balancedHull_convexHull_subseteq_absConvexHullstatement · cited by 0
- balancedHull_monostatement and proof · cited by 0