Theorems · Theorem · probability
ProbabilityTheory.IdentDistrib.coe_nnreal_ennreal
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
{ν : MeasureTheory.Measure β} {f : α → NNReal} {g : β → NNReal},
ProbabilityTheory.IdentDistrib f g μ ν → ProbabilityTheory.IdentDistrib (fun x => ↑(f x)) (fun x => ↑(g x)) μ ν- Defined in
- Mathlib.Probability.IdentDistrib
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement · cited by 1,279
- ProbabilityTheory.IdentDistribstatement and proof · cited by 74
- ProbabilityTheory.IdentDistrib.compproof · cited by 22
- measurable_coe_nnreal_ennrealproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IdentDistrib.evariance_eqproof · cited by 1