theorem A.4 Soundness
open in the book ·
appendices/A-long-proofs.tex:1510
· p. 2793
Rests on
- depends_on axiom 3.34 Principle of induction ¶
- depends_on definition 3.14 Tautology ¶
- depends_on equation 3.10 eq:log-conditional ¶
- proves proof app:A-long-proofs@proof-3 ¶
Supports
- depends_on corollary A.14 Compactness ¶
- depends_on theorem A.13 Completeness ¶
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 |
→ | Principle of induction | declared | appendices/A-long-proofs.tex:1512 |
depends_on |
→ | Tautology | declared | appendices/A-long-proofs.tex:1512 |
depends_on |
→ | eq:log-conditional | declared | appendices/A-long-proofs.tex:1512 |
depends_on |
← | Compactness | declared | appendices/A-long-proofs.tex:1862 |
depends_on |
← | Completeness | declared | appendices/A-long-proofs.tex:1848 |
proves |
← | app:A-long-proofs@proof-3 | declared | appendices/A-long-proofs.tex:1515 |