Theorems · Definition · measure theory
MeasureTheory.SimpleFunc.range
{α : Type u_1} → {β : Type u_2} → [inst : MeasurableSpace α] → MeasureTheory.SimpleFunc α β → Finset βRange of a simple function α →ₛ β as a Finset β.
- Cited by
- 97 results in Mathlib
- Foundations
- Depth 67 from the axioms, rests on 998 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- Set.Finite.toFinsetproof · cited by 351
- MeasureTheory.SimpleFunc.finite_rangeproof · cited by 8
Cited by99
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.lintegralproof · cited by 55
- MeasureTheory.SimpleFunc.setToSimpleFuncproof · cited by 40
- MeasureTheory.lintegral_iSupproof · cited by 16
- MeasureTheory.SimpleFunc.inductionproof · cited by 14
- MeasureTheory.SimpleFunc.mem_rangestatement · cited by 13
- MeasureTheory.SimpleFunc.coe_rangestatement · cited by 11
- MeasureTheory.SimpleFunc.map_lintegralstatement and proof · cited by 7
- MeasureTheory.SimpleFunc.map_setToSimpleFuncstatement and proof · cited by 6
- MeasureTheory.SimpleFunc.finMeasSupp_iffproof · cited by 6
- MeasureTheory.SimpleFunc.integral_eqstatement and proof · cited by 4
- MeasureTheory.SimpleFunc.mem_range_selfstatement · cited by 4
- MeasureTheory.SimpleFunc.add_lintegralproof · cited by 4