Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.coeFn_smul
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] {R : Type u_2} [inst_1 : SMul R NNReal] [inst_2 : SMul R ENNReal]
[inst_3 : IsScalarTower R NNReal ENNReal] [inst_4 : IsScalarTower R ENNReal ENNReal] [IsScalarTower R NNReal NNReal]
(c : R) (μ : MeasureTheory.FiniteMeasure Ω), ⇑(c • μ) = c • ⇑μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- IsScalarTowerstatement and proof · cited by 3,896
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
- MeasureTheory.FiniteMeasure.ennreal_coeFn_eq_coeFn_toMeasureproof · cited by 11
- ENNReal.coe_smulproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.smul_applyproof · cited by 1