Theorems · Theorem · functional analysis
NormedSpace.cobounded_neBot
∀ (𝕜 : Type u_1) (E : Type u_3) [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E] [NormedSpace 𝕜 E] [Nontrivial E], (Bornology.cobounded E).NeBot
- Defined in
- Mathlib.Analysis.Normed.Module.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Bot.botproof · cited by 4,720
- Nontrivialstatement and proof · cited by 2,416
- Filter.NeBotstatement · cited by 853
- Bornology.coboundedstatement and proof · cited by 162
- Filter.neBot_iffproof · cited by 27
- Bornology.isBounded_univproof · cited by 5
- NormedSpace.unbounded_univproof · cited by 3
- Bornology.cobounded_eq_bot_iffproof · cited by 2
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