Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.range_comp_subset_range
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β]
(f : MeasureTheory.SimpleFunc β γ) {g : α → β} (hgm : Measurable g), (f.comp g hgm).range ⊆ f.range- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 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.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- MeasureTheory.SimpleFunc.rangestatement · cited by 97
- Finset.coe_subsetproof · cited by 93
- MeasureTheory.SimpleFunc.compstatement and proof · cited by 14
- MeasureTheory.SimpleFunc.coe_rangeproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.setToFun_of_le_map_of_stronglyMeasurableproof · cited by 2
- MeasureTheory.StronglyMeasurable.integral_kernel_prod_rightproof · cited by 1