theorem A18.1 Lévy's continuity theorem

open in the book · appendices/18-levy-continuity.tex:39 · p. 2993

Rests on

depends_on definition 15.21 Distribution function ¶
- depends_on definition 15.20 Density ¶
  - depends_on definition 11.39 Darboux sums and the definite integral ¶
    - depends_on axiom 11.1 Completeness of $\R$ ¶
depends_on definition 15.42 Characteristic function ¶
proves proof app:levy-continuity@proof-9 ¶

Supports

depends_on corollary A18.14 The converse ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Distribution function	declared	appendices/18-levy-continuity.tex:46
`depends_on`	→	Characteristic function	declared	appendices/18-levy-continuity.tex:46
`depends_on`	←	The converse	declared	appendices/18-levy-continuity.tex:543
`proves`	←	app:levy-continuity@proof-9	declared	appendices/18-levy-continuity.tex:500