Theorems · Theorem · measure theory
MeasureTheory.indicatorConstLp_empty
∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup E] {c : E}, MeasureTheory.indicatorConstLp p ⋯ ⋯ c = 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- AddSubgroupstatement · cited by 3,232
- MeasureTheory.AEEqFunstatement · cited by 856
- Set.indicatorproof · cited by 723
- MeasureTheory.Lpstatement · cited by 715
- MeasureTheory.indicatorConstLpstatement · cited by 64
- MeasurableSet.emptystatement and proof · cited by 58
- MeasureTheory.MemLp.toLp.congr_simpproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Lp.simpleFunc.inductionproof · cited by 2
- MeasureTheory.condExpIndSMul_emptyproof · cited by 1