Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.map_zero
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} [inst : MeasurableSpace β] {M : Type u_3}
[inst_1 : AddCommMonoid M] [inst_2 : TopologicalSpace M] (f : α → β), MeasureTheory.VectorMeasure.map 0 f = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 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.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- Set.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- Measurableproof · cited by 1,499
- MeasureTheory.VectorMeasurestatement · cited by 451
- zero_applyproof · cited by 251
- MeasureTheory.VectorMeasure.extproof · cited by 65
- MeasureTheory.VectorMeasure.mapstatement · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.mapGmproof · cited by 1