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Theorems · Theorem · probability

ProbabilityTheory.gaussianReal_map_const_sub

∀ {μ : ℝ} {v : NNReal} (y : ℝ),
  MeasureTheory.Measure.map (fun x => y - x) (ProbabilityTheory.gaussianReal μ v) =
    ProbabilityTheory.gaussianReal (y - μ) v
Defined in
Mathlib.Probability.Distributions.Gaussian.Real
Cited by
1 results in Mathlib
Foundations
Depth 295 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.gaussianReal_const_sub · cited by 0ProbabilityTheory.gaussia…Real · cited by 25697RealMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureNNReal · cited by 4310NNRealadd_comm · cited by 1535add_commsub_eq_add_neg · cited by 1023sub_eq_add_negMeasureTheory.Measure.map · cited by 858Measure.mapmeasurable_id' · cited by 145measurable_id'ProbabilityTheory.gaussianReal · cited by 77ProbabilityTheory.gaussia…MeasureTheory.Measure.map_map · cited by 67Measure.map_mapMeasurable.const_add · cited by 9Measurable.const_addMeasurable.fun_neg · cited by 7Measurable.fun_negProbabilityTheory.gaussianReal_map_const_add · cited by 2ProbabilityTheory.gaussia…ProbabilityTheory.gaussianReal_map_neg · cited by 2ProbabilityTheory.gaussia…ProbabilityTheory.gaussianRea…CITED BYCITES

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