Theorems · Theorem · measure theory
MeasureTheory.Measure.ext_iff
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ₁ μ₂ : MeasureTheory.Measure α},
μ₁ = μ₂ ↔ ∀ (s : Set α), MeasurableSet s → μ₁ s = μ₂ s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Measure.extproof · cited by 308
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.forall_measure_preimage_add_iffproof · cited by 1
- MeasureTheory.forall_measure_preimage_add_right_iffproof · cited by 1