proposition 4.24 Inverse of the neutral element

open in the book · parts/02-mathematical-methods/02-algebraic-structures.tex:621 · p. 64

Rests on

depends_on definition 4.21 Group ¶
- depends_on definition 4.11 Inverse element ¶
  - depends_on definition 4.9 Neutral element ¶
    - depends_on definition 4.3 Algebraic structure ¶
      - depends_on definition 4.2 Binary operation ¶
- depends_on definition 4.20 Monoid ¶
  - depends_on definition 4.9 Neutral element ¶ ↺
  - depends_on definition 4.18 Semigroup ¶
    - depends_on definition 4.6 Associativity ¶
      - depends_on definition 4.3 Algebraic structure ¶ ↺
    - depends_on definition 4.4 Internal binary operation; magma ¶
      - depends_on definition 4.3 Algebraic structure ¶ ↺
      - depends_on definition 4.2 Binary operation ¶ ↺
depends_on proposition 4.23 Uniqueness of the inverse element ¶
- depends_on definition 4.21 Group ¶ ↺
- proves proof ch:02-algebraic-structures@proof-4 ¶
proves proof ch:02-algebraic-structures@proof-5 ¶

Nothing declares a dependency on this node yet.

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Group	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:623
`depends_on`	→	Uniqueness of the inverse element	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:623
`proves`	←	ch:02-algebraic-structures@proof-5	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:626