Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.mapRange_zero
∀ {α : Type u_1} {mα : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
{N : Type u_4} [inst_2 : AddCommMonoid N] [inst_3 : TopologicalSpace N] {f : M →+ N} (hf : Continuous ⇑f),
MeasureTheory.VectorMeasure.mapRange 0 f hf = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 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.coestatement and proof · 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
- AddMonoidHomstatement and proof · cited by 3,230
- MeasurableSetproof · cited by 3,075
- Continuousstatement and proof · cited by 2,592
- map_zeroproof · cited by 1,614
- MeasureTheory.VectorMeasurestatement · cited by 451
- zero_applyproof · cited by 251
- MeasureTheory.VectorMeasure.extproof · cited by 65
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.transpose_zeroproof · cited by 4
- MeasureTheory.VectorMeasure.mapRangeHomproof · cited by 0