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Theorems · Theorem · probability

ProbabilityTheory.gaussianReal_map_sub_const

∀ {μ : ℝ} {v : NNReal} (y : ℝ),
  MeasureTheory.Measure.map (fun x => x - y) (ProbabilityTheory.gaussianReal μ v) =
    ProbabilityTheory.gaussianReal (μ - y) v
Defined in
Mathlib.Probability.Distributions.Gaussian.Real
Cited by
2 results in Mathlib
Foundations
Depth 289 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProbabilityTheory.variance_fun_id_gaussianReal · cited by 1ProbabilityTheory.varianc…ProbabilityTheory.gaussianReal_sub_const · cited by 0ProbabilityTheory.gaussia…Real · cited by 25697RealMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureNNReal · cited by 4310NNRealsub_eq_add_neg · cited by 1023sub_eq_add_negMeasureTheory.Measure.map · cited by 858Measure.mapProbabilityTheory.gaussianReal · cited by 77ProbabilityTheory.gaussia…ProbabilityTheory.gaussianReal_map_add_const · cited by 3ProbabilityTheory.gaussia…ProbabilityTheory.gaussianRea…CITED BYCITES

Cites7

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Cited by2

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