Theorems · Theorem · measure theory
MeasureTheory.hasFiniteIntegral_congr
∀ {α : Type u_1} {ε : Type u_4} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : ENorm ε] {f g : α → ε},
f =ᵐ[μ] g → (MeasureTheory.HasFiniteIntegral f μ ↔ MeasureTheory.HasFiniteIntegral g μ)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENorm
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.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- ENorm.enormproof · cited by 715
- ENormstatement and proof · cited by 155
- MeasureTheory.HasFiniteIntegralstatement · cited by 120
- Filter.EventuallyEq.fun_compproof · cited by 47
- MeasureTheory.hasFiniteIntegral_congr'_enormproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.hasFiniteIntegral_comp_iff'proof · cited by 1
- ProbabilityTheory.hasFiniteIntegral_compProd_iff'proof · cited by 1
- MeasureTheory.hasFiniteIntegral_prod_iff'proof · cited by 0