definition A.18 $\Delta_{0}$ and $\Sigma_{1}$

open in the book · appendices/A-long-proofs.tex:2025 · p. 2799

Rests on

depends_on lemma A.24 lem:app-inc-beta-delta0 ¶
- depends_on theorem A.25 thm:app-inc-primrec ¶
  - depends_on theorem A.17 Representability ¶
    - depends_on proposition A.28 prop:app-inc-derivability ¶
      - depends_on theorem A.29 Second incompleteness theorem ¶
    - depends_on theorem A.30 Church, Turing ¶
    - depends_on theorem A.26 Diagonal lemma ¶
      - depends_on theorem A.27 Rosser ¶
    - depends_on theorem A.27 Rosser ¶ ↺
depends_on lemma A.20 $\Sigma_{1}$-completeness ¶
- depends_on theorem A.25 thm:app-inc-primrec ¶ ↺
- depends_on theorem A.17 Representability ¶ ↺

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	eq:app-inc-order	declared	appendices/A-long-proofs.tex:2035
`depends_on`	←	lem:app-inc-beta-delta0	declared	appendices/A-long-proofs.tex:2210
`depends_on`	←	$\Sigma_{1}$-completeness	declared	appendices/A-long-proofs.tex:2110