Theorems · Theorem · functional analysis
balancedHull_add_subset
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : SeminormedRing 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E] {s : Set E}
[NormOneClass 𝕜] {t : Set E}, balancedHull 𝕜 (s + t) ⊆ balancedHull 𝕜 s + balancedHull 𝕜 t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- SeminormedRingstatement and proof · cited by 446
- Set.addstatement · cited by 338
- NormOneClassstatement and proof · cited by 136
- Set.add_subset_addproof · cited by 18
- balancedHullstatement · cited by 12
- subset_balancedHullproof · cited by 3
- Balanced.addproof · cited by 3
- Balanced.balancedHull_subset_of_subsetproof · cited by 3
- balancedHull.balancedproof · cited by 2
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