definition A.5 Maximal consistent
open in the book ·
appendices/A-long-proofs.tex:1551
· p. 2794
- ground object -- no derivation owed
Rests on
-
depends_on
definition 3.82
Consistency, completeness, soundness
¶
- depends_on definition 3.80 Formal system ¶
- depends_on definition 3.7 Negation ¶
Supports
-
depends_on
definition A.9
The term structure
¶
-
depends_on
lemma A.11
Truth lemma
¶
-
depends_on
theorem A.12
Model existence
¶
- depends_on corollary A.14 Compactness ¶
- depends_on theorem A.13 Completeness ¶
-
depends_on
theorem A.12
Model existence
¶
-
depends_on
lemma A.10
lem:app-comp-welldefined
¶
- depends_on lemma A.11 Truth lemma ¶ ↺
- depends_on theorem A.12 Model existence ¶ ↺
-
depends_on
lemma A.11
Truth lemma
¶
- depends_on lemma A.6 Lindenbaum ¶
-
depends_on
lemma A.7
Behaviour of a maximal consistent set
¶
- depends_on lemma A.11 Truth lemma ¶ ↺
- depends_on lemma A.10 lem:app-comp-welldefined ¶ ↺
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 |
→ | Consistency, completeness, soundness | declared | appendices/A-long-proofs.tex:1555 |
depends_on |
← | The term structure | declared | appendices/A-long-proofs.tex:1732 |
depends_on |
← | Lindenbaum | declared | appendices/A-long-proofs.tex:1560 |
depends_on |
← | Behaviour of a maximal consistent set | declared | appendices/A-long-proofs.tex:1612 |