proposition 5.63 prop:lin-dual-inner-product

open in the book · parts/02-mathematical-methods/03-linear-algebra-representations.tex:2757 · p. 129

Rests on

depends_on definition 5.59 Dual space ¶
- depends_on definition 5.46 Functional ¶
  - depends_on definition 5.37 Linear transformation ¶
    - depends_on definition 4.33 Vector space ¶
      - depends_on definition 4.8 Commutativity; abelian structure ¶
      - depends_on definition 4.32 Field ¶
      - depends_on definition 4.31 Module ¶
depends_on definition 5.18 Inner product ¶
- depends_on definition 4.33 Vector space ¶ ↺
depends_on equation 5.87 eq:lin-dual-expansion ¶
depends_on equation 5.86 eq:lin-functional3 ¶
proves proof ch:03-linear-algebra-representations@proof-23 ¶

Nothing declares a dependency on this node yet.

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Dual space	declared	parts/02-mathematical-methods/03-linear-algebra-representations.tex:2794
`depends_on`	→	Inner product	declared	parts/02-mathematical-methods/03-linear-algebra-representations.tex:2794
`depends_on`	→	eq:lin-dual-expansion	declared	parts/02-mathematical-methods/03-linear-algebra-representations.tex:2794
`depends_on`	→	eq:lin-functional3	declared	parts/02-mathematical-methods/03-linear-algebra-representations.tex:2794
`proves`	←	ch:03-linear-algebra-representations@proof-23	declared	parts/02-mathematical-methods/03-linear-algebra-representations.tex:2801