Theorems · Theorem · functional analysis
balancedCore_subset_balancedCoreAux
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : NormedDivisionRing 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
{s : Set E}, balancedCore 𝕜 s ⊆ balancedCoreAux 𝕜 s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- NormedDivisionRingstatement and proof · cited by 360
- balancedCorestatement · cited by 18
- balancedCore_subsetproof · cited by 8
- balancedCoreAuxstatement · cited by 6
- balancedCore_balancedproof · cited by 6
- balancedCoreAux_maximalproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- balancedCore_eq_iInterproof · cited by 2