@@ -372,13 +372,13 @@ lemma gaussianReal_sub_const (hX : HasLaw X (gaussianReal μ v) P) (y : ℝ) :
372372/-- If `X` is a real random variable with Gaussian law with mean `μ` and variance `v`, then `c * X`
373373has Gaussian law with mean `c * μ` and variance `c ^ 2 * v`. -/
374374lemma gaussianReal_const_mul (hX : HasLaw X (gaussianReal μ v) P) (c : ℝ) :
375- HasLaw (fun ω ↦ c * X ω) (gaussianReal (c * μ) (⟨ c ^ 2 , sq_nonneg _⟩ * v)) P :=
375+ HasLaw (fun ω ↦ c * X ω) (gaussianReal (c * μ) (.mk ( c ^ 2 ) ( sq_nonneg _) * v)) P :=
376376 HasLaw.comp ⟨by fun_prop, gaussianReal_map_const_mul c⟩ hX
377377
378378/-- If `X` is a real random variable with Gaussian law with mean `μ` and variance `v`, then `X * c`
379379has Gaussian law with mean `c * μ` and variance `c ^ 2 * v`. -/
380380lemma gaussianReal_mul_const (hX : HasLaw X (gaussianReal μ v) P) (c : ℝ) :
381- HasLaw (fun ω ↦ X ω * c) (gaussianReal (c * μ) (⟨ c ^ 2 , sq_nonneg _⟩ * v)) P :=
381+ HasLaw (fun ω ↦ X ω * c) (gaussianReal (c * μ) (.mk ( c ^ 2 ) ( sq_nonneg _) * v)) P :=
382382 HasLaw.comp ⟨by fun_prop, gaussianReal_map_mul_const c⟩ hX
383383
384384lemma gaussianReal_neg (hX : HasLaw X (gaussianReal μ v) P) :
@@ -389,7 +389,7 @@ lemma gaussianReal_neg (hX : HasLaw X (gaussianReal μ v) P) :
389389/-- If `X` is a real random variable with Gaussian law with mean `μ` and variance `v`, then `X * c`
390390has Gaussian law with mean `c * μ` and variance `c ^ 2 * v`. -/
391391lemma gaussianReal_div_const (hX : HasLaw X (gaussianReal μ v) P) (c : ℝ) :
392- HasLaw (fun ω ↦ X ω / c) (gaussianReal (μ / c) (v / ⟨ c ^ 2 , sq_nonneg _⟩ )) P :=
392+ HasLaw (fun ω ↦ X ω / c) (gaussianReal (μ / c) (v / .mk ( c ^ 2 ) ( sq_nonneg _) )) P :=
393393 HasLaw.comp ⟨by fun_prop, gaussianReal_map_div_const c⟩ hX
394394
395395/-- If `X` is a real random variable with Gaussian law with mean `μ` and variance `v`, then `y - X`
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