Theorems · Theorem · functional analysis
Balanced.starConvex
∀ {E : Type u_3} [inst : AddCommGroup E] [inst_1 : Module ℝ E] {s : Set E}, Balanced ℝ s → StarConvex ℝ 0 s- Defined in
- Mathlib.Analysis.LocallyConvex.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupModule
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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
- Realstatement and proof · cited by 25,697
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Real.norm_of_nonnegproof · cited by 135
- Balancedstatement and proof · cited by 77
- StarConvexstatement · cited by 62
- Set.smul_mem_smul_setproof · cited by 39
- starConvex_zero_iffproof · cited by 2
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