Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.range_const
∀ {β : Type u_2} (α : Type u_5) [inst : MeasurableSpace α] [Nonempty α] (b : β),
(MeasureTheory.SimpleFunc.const α b).range = {b}- Cited by
- 3 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceNonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Finset.coe_singletonproof · cited by 145
- Finset.coe_injectiveproof · cited by 127
- MeasureTheory.SimpleFunc.rangestatement and proof · cited by 97
- MeasureTheory.SimpleFunc.conststatement and proof · cited by 50
- Set.range_constproof · cited by 25
- MeasureTheory.SimpleFunc.coe_rangeproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.const_lintegralproof · cited by 2
- MeasureTheory.SimpleFunc.setToSimpleFunc_indicatorproof · cited by 1
- MeasureTheory.SimpleFunc.setToSimpleFunc_const'proof · cited by 1