Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.range_map
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] [inst_1 : DecidableEq γ] (g : β → γ)
(f : MeasureTheory.SimpleFunc α β), (MeasureTheory.SimpleFunc.map g f).range = Finset.image g f.range- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Set.imageproof · cited by 5,609
- Set.rangeproof · cited by 4,705
- Finset.imagestatement and proof · cited by 910
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- Set.range_compproof · cited by 223
- Finset.coe_imageproof · cited by 222
- Finset.coe_injectiveproof · cited by 127
- MeasureTheory.SimpleFunc.rangestatement and proof · cited by 97
- MeasureTheory.SimpleFunc.mapstatement and proof · cited by 54
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.map_lintegralproof · cited by 7
- MeasureTheory.SimpleFunc.map_setToSimpleFuncproof · cited by 6