Theorems · Definition · logic and foundations
Pairwise
{α : Type u_1} → (α → α → Prop) → PropA relation r holds pairwise if r i j for all i ≠ j.
- Defined in
- Mathlib.Logic.Pairwise
- Cited by
- 516 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 5 definitions · uses no axioms
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by605
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.withDensityproof · cited by 265
- Orthonormalproof · cited by 85
- OrthogonalFamilyproof · cited by 48
- MeasureTheory.measure_iUnionstatement and proof · cited by 39
- MeasureTheory.Measure.toSignedMeasureproof · cited by 36
- MeasureTheory.Measure.withDensityᵥproof · cited by 36
- MeasureTheory.OuterMeasure.mapproof · cited by 30
- Pairwise.monostatement and proof · cited by 29
- disjoint_disjointedstatement · cited by 25
- Matrix.IsDiagproof · cited by 25
- MeasureTheory.OuterMeasure.comapproof · cited by 22
- MeasurableSpace.induction_on_interstatement and proof · cited by 21
Showing the 200 most cited of 605.