proposition 4.17 Trivial kernel of a homomorphism

open in the book · parts/02-mathematical-methods/02-algebraic-structures.tex:431 · p. 62

Rests on

depends_on definition 4.43 Group homomorphism ¶
- 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 4.20 Monoid ¶
    - depends_on definition 4.9 Neutral element ¶ ↺
    - depends_on definition 4.18 Semigroup ¶
      - depends_on definition 4.6 Associativity ¶
      - depends_on definition 4.4 Internal binary operation; magma ¶
- depends_on definition 3.43 Map ¶
  - depends_on definition 3.24 Quantifiers ¶
    - depends_on definition 3.23 Predicate ¶
      - depends_on definition 3.1 Logical proposition ¶
      - depends_on definition 3.38 Ordered pair and Cartesian product ¶
  - depends_on definition 3.28 Set ¶
depends_on definition 4.11 Inverse element ¶ ↺
depends_on definition 4.15 Kernel ¶
- depends_on definition 4.9 Neutral element ¶ ↺
proves proof ch:02-algebraic-structures@proof-3 ¶

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 homomorphism	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:438
`depends_on`	→	Inverse element	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:438
`depends_on`	→	Kernel	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:438
`proves`	←	ch:02-algebraic-structures@proof-3	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:441