theorem A.219 Rice's formula

open in the book · appendices/A-long-proofs.tex:11094 · p. 2898

Rests on

depends_on definition A.218 The hypotheses ¶
- depends_on definition 11.28 Gaussian distribution ¶
  - 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 11.100 Upcrossings ¶
  - depends_on definition 11.96 Local, global, trials factor ¶
    - depends_on definition 11.75 $p$-value ¶
      - depends_on definition 11.74 Hypotheses and tests ¶
    - depends_on equation 11.89 eq:prob-p-one-sided ¶
    - depends_on equation 11.88 eq:prob-q0 ¶
depends_on definition 11.100 Upcrossings ¶ ↺
proves proof app:A-long-proofs@proof-137 ¶

Supports

depends_on corollary A.227 The stationary case ¶

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`	→	The hypotheses	declared	appendices/A-long-proofs.tex:11102
`depends_on`	→	Upcrossings	declared	appendices/A-long-proofs.tex:11102
`depends_on`	←	The stationary case	declared	appendices/A-long-proofs.tex:11462
`proves`	←	app:A-long-proofs@proof-137	declared	appendices/A-long-proofs.tex:11402