Theorems · Theorem · functional analysis
Bornology.IsBounded.of_add
∀ {E : Type u_1} [inst : SeminormedAddGroup E] {s t : Set E},
Bornology.IsBounded (s + t) → Bornology.IsBounded s ∨ Bornology.IsBounded t- Defined in
- Mathlib.Analysis.Normed.Group.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddGroup
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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
- Set.addstatement · cited by 338
- SeminormedAddGroupstatement and proof · cited by 331
- Bornology.IsBoundedstatement and proof · cited by 293
- Set.image2_swapproof · cited by 17
- Isometry.antilipschitzproof · cited by 14
- AntilipschitzWith.isBounded_of_image2_leftproof · cited by 3
- isometry_add_leftproof · cited by 3
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