Mathlib Map

Theorems · Theorem · probability

ProbabilityTheory.Fernique.lt_normThreshold_zero

∀ {a : ℝ}, 0 < a → a / (1 - √2) < ProbabilityTheory.Fernique.normThreshold a 0
Defined in
Mathlib.Probability.Distributions.Fernique
Cited by
2 results in Mathlib
Foundations
Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ProbabilityTheory.Fernique.normThreshold_strictMono · cited by 1Fernique.normThreshold_st…ProbabilityTheory.Fernique.tendsto_normThreshold_atTop · cited by 1Fernique.tendsto_normThre…Real · cited by 25697Realzero_add · cited by 2366zero_addLT.lt.le · cited by 2189lt.leReal.sqrt · cited by 545Real.sqrtProbabilityTheory.Fernique.normThreshold · cited by 14Fernique.normThresholddiv_nonpos_of_nonneg_of_nonpos · cited by 6div_nonpos_of_nonneg_of_n…Fernique.lt_normThreshold_zeroCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.