Theorems · Theorem · measure theory
interval_average_eq_div
∀ (f : ℝ → ℝ) (a b : ℝ), ⨍ (x : ℝ) in a..b, f x = (∫ (x : ℝ) in a..b, f x) / (b - a)
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 256 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.
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- intervalIntegralstatement and proof · cited by 546
- smul_eq_mulproof · cited by 357
- Set.uIocstatement · cited by 182
- div_eq_inv_mulproof · cited by 146
- MeasureTheory.averagestatement · cited by 87
- interval_average_eqproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.