Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.posPart_sub_negPart
∀ {α : Type u_1} [inst : MeasurableSpace α] (f : MeasureTheory.SimpleFunc α ℝ), f.posPart - f.negPart = f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 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.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- MeasureTheory.SimpleFunc.mapproof · cited by 54
- MeasureTheory.SimpleFunc.extproof · cited by 12
- MeasureTheory.SimpleFunc.posPartstatement · cited by 5
- MeasureTheory.SimpleFunc.negPartstatement · cited by 4
- max_zero_sub_eq_selfproof · cited by 2
- MeasureTheory.SimpleFunc.coe_subproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_subproof · cited by 1