definition A.41 Addition
open in the book ·
appendices/A-long-proofs.tex:2992
· p. 2810
- ground object -- no derivation owed
Rests on
Supports
-
depends_on
definition A.43
Multiplication
¶
- depends_on lemma A.44 $\R$ is an ordered field ¶
- depends_on lemma A.44 $\R$ is an ordered field ¶ ↺
-
depends_on
lemma A.42
$(\R, +)$ is an ordered abelian group
¶
- depends_on lemma A.44 $\R$ is an ordered field ¶ ↺
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 |
→ | Cut | declared | appendices/A-long-proofs.tex:2996 |
depends_on |
← | Multiplication | declared | appendices/A-long-proofs.tex:3046 |
depends_on |
← | $\R$ is an ordered field | declared | appendices/A-long-proofs.tex:3053 |
depends_on |
← | $(\R, +)$ is an ordered abelian group | declared | appendices/A-long-proofs.tex:3005 |