lemma 14.102 Two identities for a $\mathfrak{g}$-valued $1$-form

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4222 · p. 589

Rests on

depends_on equation 14.135 eq:lie-form-bracket ¶
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 ¶
proves proof ch:12-lie-groups-fibre-bundles@proof-41 ¶

Supports

depends_on theorem 14.107 Bianchi identity ¶

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`	→	eq:lie-form-bracket	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4230
`depends_on`	→	eq:lie-structconst	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4230
`depends_on`	←	Bianchi identity	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4379
`proves`	←	ch:12-lie-groups-fibre-bundles@proof-41	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:4233