Theorems · Theorem · measure theory
intervalIntegrable_const
∀ {E : Type u_5} [inst : NormedAddCommGroup E] {a b : ℝ} {μ : MeasureTheory.Measure ℝ}
[MeasureTheory.IsLocallyFiniteMeasure μ] {c : E}, IntervalIntegrable (fun x => c) μ a b- Cited by
- 10 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasureTheory.Measurestatement and proof · cited by 10,939
- IntervalIntegrablestatement · cited by 316
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- intervalIntegrable_const_iffproof · cited by 4
- measure_Ioc_lt_topproof · cited by 3
Cited by10
Results whose statement or proof uses this declaration.
- circleIntegrable_constproof · cited by 7
- intervalIntegral.intervalIntegrable_cpowproof · cited by 2
- MeasureTheory.lintegral_eq_lintegral_meas_leproof · cited by 2
- HasFDerivWithinAt.curveIntegral_segment_source'proof · cited by 2
- MeasureTheory.measureReal_abs_gt_le_integral_charFunproof · cited by 2
- Real.circleAverage_mono_on_of_le_circleproof · cited by 2
- Real.circleAverage_nonneg_of_nonnegproof · cited by 1
- TendstoUniformlyOn.tendsto_intervalIntegral_of_continuousOnproof · cited by 1
- integral_log_sin_zero_pi_div_twoproof · cited by 1
- intervalIntegral.hasSum_intervalIntegral_of_summable_normproof · cited by 1