theorem A.168 Lévy's continuity theorem

open in the book · appendices/A-long-proofs.tex:8876 · p. 2874

Rests on

depends_on definition 11.21 Distribution function ¶
- depends_on definition 11.20 Density ¶
  - depends_on definition 7.39 Darboux sums and the definite integral ¶
    - depends_on axiom 7.1 Completeness of $\R$ ¶
depends_on definition 11.42 Characteristic function ¶
proves proof app:A-long-proofs@proof-108 ¶

Supports

depends_on corollary A.181 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/A-long-proofs.tex:8883
`depends_on`	→	Characteristic function	declared	appendices/A-long-proofs.tex:8883
`depends_on`	←	The converse	declared	appendices/A-long-proofs.tex:9380
`proves`	←	app:A-long-proofs@proof-108	declared	appendices/A-long-proofs.tex:9337