proposition A.334 Nondegeneracy implies no abelian ideal
open in the book ·
appendices/A-long-proofs.tex:16272
· p. 2953
Rests on
- depends_on definition A.331 Derived series, solvable, ideal ¶
-
depends_on
definition 14.10
Killing form
¶
-
depends_on
equation 14.5
eq:lie-structconst
¶
-
step_from
equation 14.4
eq:lie-gengrlie
¶
- step_from equation 14.3 eq:lie-generators ¶
- step_from equation 14.2 eq:lie-varincor ¶
-
step_from
equation 14.4
eq:lie-gengrlie
¶
-
depends_on
equation 14.5
eq:lie-structconst
¶
- proves proof app:A-long-proofs@proof-202 ¶
Supports
Nothing declares a dependency on this node yet.
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 |
→ | Derived series, solvable, ideal | declared | appendices/A-long-proofs.tex:16278 |
depends_on |
→ | Killing form | declared | appendices/A-long-proofs.tex:16278 |
proves |
← | app:A-long-proofs@proof-202 | declared | appendices/A-long-proofs.tex:16281 |