Theorems · Theorem · probability

ProbabilityTheory.Kernel.mapOfMeasurable.congr_simp

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4}
  {mγ : MeasurableSpace γ} (κ κ_1 : ProbabilityTheory.Kernel α β),
  κ = κ_1 → ∀ (f f_1 : β → γ) (e_f : f = f_1) (hf : Measurable f), κ.mapOfMeasurable f hf = κ_1.mapOfMeasurable f_1 ⋯

Defined in: Mathlib.Probability.Kernel.Composition.MapComap
Cited by: 0 results in Mathlib
Foundations: Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

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MeasurableSpacestatement and proof · cited by 13,106
Measurablestatement and proof · cited by 1,499
ProbabilityTheory.Kernelstatement and proof · cited by 1,281
ProbabilityTheory.Kernel.mapOfMeasurablestatement and proof · cited by 4

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