Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.mem_range_self
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] (f : MeasureTheory.SimpleFunc α β) (x : α), f x ∈ f.range- Cited by
- 4 results in Mathlib
- Foundations
- Depth 69 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- MeasureTheory.SimpleFunc.rangestatement · cited by 97
- MeasureTheory.SimpleFunc.mem_rangeproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.exists_measurable_le_forall_setLIntegral_eqproof · cited by 1
- MeasureTheory.SimpleFunc.lintegral_eq_of_subset'proof · cited by 1
- MeasureTheory.measurable_uncurry_of_continuous_of_measurableproof · cited by 0