proposition 4.23 Uniqueness of the inverse element

open in the book · parts/02-mathematical-methods/02-algebraic-structures.tex:602 · p. 64

Rests on

depends_on proposition 4.27 Inverse of a product ¶
- depends_on proposition 4.57 prop:alg-conjugacy-equiv ¶
  - depends_on definition 4.58 Conjugacy classes ¶
    - depends_on definition 4.59 Conjugate subgroups ¶
      - depends_on definition 4.60 Normal subgroup ¶
- depends_on proposition 4.42 When the homomorphisms form a group ¶
depends_on proposition 4.14 Maps into a group form a group ¶
- depends_on proposition 4.42 When the homomorphisms form a group ¶ ↺
depends_on proposition 4.24 Inverse of the neutral element ¶

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:604
`depends_on`	←	Inverse of a product	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:682
`depends_on`	←	Maps into a group form a group	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:361
`depends_on`	←	Inverse of the neutral element	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:623
`proves`	←	ch:02-algebraic-structures@proof-4	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:607