Theorems · Theorem · measure theory
Real.measure_ext_Ioo_rat
∀ {μ ν : MeasureTheory.Measure ℝ} [MeasureTheory.IsLocallyFiniteMeasure μ],
(∀ (a b : ℚ), μ (Set.Ioo ↑a ↑b) = ν (Set.Ioo ↑a ↑b)) → μ = ν- Cited by
- 2 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.Ioostatement and proof · cited by 1,214
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- MeasureTheory.Measure.FiniteSpanningSetsIn.extproof · cited by 4
- Real.isPiSystem_Ioo_ratproof · cited by 2
- Real.finiteSpanningSetsInIooRatproof · cited by 2
- Real.borel_eq_generateFrom_Ioo_ratproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.smul_map_volume_mul_leftproof · cited by 2
- Real.volume_eq_stieltjes_idproof · cited by 1