Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.ext_iff
∀ {α : Type u_1} {m : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
(v w : MeasureTheory.VectorMeasure α M), v = w ↔ ∀ (i : Set α), MeasurableSet i → v i = w i- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Setstatement and proof · 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
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
- DFunLike.ext_iffproof · cited by 102
- MeasureTheory.VectorMeasure.not_measurableproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.extproof · cited by 65