Theorems · Theorem · measure theory
MeasureTheory.lmarginal_mono
∀ {δ : Type u_1} {X : δ → Type u_3} [inst : (i : δ) → MeasurableSpace (X i)] {μ : (i : δ) → MeasureTheory.Measure (X i)}
[inst_1 : DecidableEq δ] {s : Finset δ} {f g : ((i : δ) → X i) → ENNReal}, f ≤ g → ∫⋯∫⁻_s, f ∂μ ≤ ∫⋯∫⁻_s, g ∂μ- Defined in
- Mathlib.MeasureTheory.Integral.Marginal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.lintegral_monoproof · cited by 51
- Function.updateFinsetproof · cited by 46
- MeasureTheory.lmarginalstatement · cited by 28
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.GridLines.T_insert_le_T_lmarginal_singletonproof · cited by 1
- MeasureTheory.lmarginal_le_of_subsetproof · cited by 1