Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.le_restrict_univ_iff_le
∀ {α : Type u_1} {m : MeasurableSpace α} {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : AddCommMonoid M]
[inst_2 : PartialOrder M] (v w : MeasureTheory.VectorMeasure α M), v.restrict Set.univ ≤ w.restrict Set.univ ↔ v ≤ w- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Set.univstatement · cited by 3,945
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
- MeasureTheory.VectorMeasure.restrictstatement · cited by 139
- MeasureTheory.VectorMeasure.restrict_univproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.zero_le_toSignedMeasureproof · cited by 1
- MeasureTheory.Measure.toSignedMeasure_toMeasureOfZeroLEstatement and proof · cited by 0