Theorems · Theorem · measure theory
MeasureTheory.setLIntegral_const
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (s : Set α) (c : ENNReal),
∫⁻ (x : α) in s, c ∂μ = c * μ s- Cited by
- 11 results in Mathlib
- Foundations
- Depth 197 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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- MeasureTheory.lintegralstatement · cited by 1,152
- MeasureTheory.lintegral_constproof · cited by 123
- MeasureTheory.Measure.restrict_apply_univproof · cited by 15
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.prod_prodproof · cited by 38
- MeasureTheory.setLIntegral_oneproof · cited by 17
- MeasureTheory.lintegral_eq_zero_iff'proof · cited by 16
- MeasureTheory.lintegral_trimproof · cited by 7
- MeasureTheory.lintegral_indicator_const₀proof · cited by 3
- MeasureTheory.lintegral_add_mul_meas_add_le_le_lintegralproof · cited by 2
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_image_aux1proof · cited by 1
- MeasureTheory.lintegral_indicator_const_leproof · cited by 1
- MeasureTheory.le_eLpNorm_of_bddBelowproof · cited by 1
- MeasureTheory.addHaar_image_le_lintegral_abs_det_fderiv_aux1proof · cited by 1
- MeasureTheory.Measure.haveLebesgueDecomposition_of_finiteMeasureproof · cited by 0