Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.range_zero
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [Nonempty α] [inst_2 : Zero β],
MeasureTheory.SimpleFunc.range 0 = {0}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceNonemptyZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.extproof · cited by 565
- MeasureTheory.SimpleFuncstatement · cited by 411
- Set.mem_singleton_iffproof · cited by 172
- Finset.mem_singletonproof · cited by 103
- MeasureTheory.SimpleFunc.rangestatement · cited by 97
- MeasureTheory.SimpleFunc.mem_rangeproof · cited by 13
- Set.range_zeroproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.setToSimpleFunc_zero_applyproof · cited by 1