Theorems · Theorem · probability
ProbabilityTheory.gaussianReal_zero_var
∀ (μ : ℝ), ProbabilityTheory.gaussianReal μ 0 = MeasureTheory.Measure.dirac μ
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 244 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- NNRealstatement · cited by 4,310
- MeasureTheory.Measure.diracstatement · cited by 210
- ProbabilityTheory.gaussianRealstatement · cited by 77
Cited by7
Results whose statement or proof uses this declaration.
- ProbabilityTheory.gaussianReal_map_const_mulproof · cited by 4
- ProbabilityTheory.complexMGF_id_gaussianRealproof · cited by 3
- ProbabilityTheory.gaussianReal_map_add_constproof · cited by 3
- ProbabilityTheory.IsPreBrownianReal.eval_zero_ae_eq_zeroproof · cited by 1
- ProbabilityTheory.HasIndepIncrements.isPreBrownianReal_of_hasLawproof · cited by 1
- ProbabilityTheory.rnDeriv_gaussianRealproof · cited by 0
- ProbabilityTheory.tendstoInDistribution_inv_sqrt_mul_sum_subproof · cited by 0