Theorems · Theorem · functional analysis
isClosed_nonneg
∀ {α : Type u_1} [inst : NormedAddCommGroup α] [inst_1 : Lattice α] [HasSolidNorm α] [IsOrderedAddMonoid α],
IsClosed {x | 0 ≤ x}- Defined in
- Mathlib.Analysis.Normed.Order.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- Set.ofPredstatement and proof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Set.extproof · cited by 2,266
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- IsClosedstatement and proof · cited by 1,639
- Latticestatement and proof · cited by 916
- IsClosed.preimageproof · cited by 138
- NegPart.negPartproof · cited by 107
- HasSolidNormstatement and proof · cited by 67
- isClosed_singletonproof · cited by 66
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