Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.coe_range
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] (f : MeasureTheory.SimpleFunc α β), ↑f.range = Set.range ⇑f- Cited by
- 11 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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 · cited by 62,936
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- SetLike.coestatement · cited by 8,199
- Set.rangestatement · cited by 4,705
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- Set.Finite.coe_toFinsetproof · cited by 124
- MeasureTheory.SimpleFunc.rangestatement · cited by 97
- MeasureTheory.SimpleFunc.finite_rangeproof · cited by 8
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.inductionproof · cited by 14
- MeasureTheory.SimpleFunc.range_constproof · cited by 3
- MeasureTheory.SimpleFunc.range_comp_subset_rangeproof · cited by 2
- MeasureTheory.SimpleFunc.range_mapproof · cited by 2
- MeasureTheory.SimpleFunc.sum_range_measure_preimage_singletonproof · cited by 1
- MeasureTheory.SimpleFunc.induction'proof · cited by 1
- MeasureTheory.SimpleFunc.range_const_subsetproof · cited by 1
- MeasureTheory.SimpleFunc.range_indicatorproof · cited by 1
- MeasureTheory.SimpleFunc.map_preimageproof · cited by 1
- MeasureTheory.VectorMeasure.variation_withDensity'proof · cited by 1
- MeasureTheory.SimpleFunc.mem_restrict_rangeproof · cited by 1