Theorems · Theorem · functional analysis
lipschitzWith_negPart
∀ {α : Type u_1} [inst : NormedAddCommGroup α] [inst_1 : Lattice α] [HasSolidNorm α] [IsOrderedAddMonoid α],
LipschitzWith 1 negPart- Defined in
- Mathlib.Analysis.Normed.Order.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- NNRealstatement · cited by 4,310
- one_mulproof · cited by 2,841
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Latticestatement and proof · cited by 916
- LipschitzWithstatement and proof · cited by 316
- PosPart.posPartproof · cited by 113
- NegPart.negPartstatement · cited by 107
- HasSolidNormstatement and proof · cited by 67
- LipschitzWith.compproof · cited by 11
- LipschitzWith.idproof · cited by 8
- LipschitzWith.negproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- continuous_negPartproof · cited by 9