Theorems · Theorem · functional analysis
balanced_neg
∀ {𝕜 : Type u_1} {E : Type u_3} [inst : SeminormedRing 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E] {s : Set E},
Balanced 𝕜 (-s) ↔ Balanced 𝕜 s- Defined in
- Mathlib.Analysis.LocallyConvex.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- neg_negproof · cited by 960
- SeminormedRingstatement and proof · cited by 446
- Set.negstatement · cited by 168
- Balancedstatement and proof · cited by 77
- Balanced.negproof · cited by 2
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