Theorems · Theorem · functional analysis
dual_solid
∀ {α : Type u_1} [inst : NormedAddCommGroup α] [inst_1 : Lattice α] [HasSolidNorm α] [IsOrderedAddMonoid α] (a b : α),
b ⊓ -b ≤ a ⊓ -a → ‖a‖ ≤ ‖b‖- Defined in
- Mathlib.Analysis.Normed.Order.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normstatement · cited by 5,413
- absproof · cited by 1,814
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- neg_negproof · cited by 960
- Latticestatement and proof · cited by 916
- inf_commproof · cited by 139
- HasSolidNormstatement and proof · cited by 67
- neg_le_neg_iffproof · cited by 57
- HasSolidNorm.solidproof · cited by 9
- neg_infproof · cited by 4
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