proposition 4.38 prop:alg-nZ-subgroup

open in the book · parts/02-mathematical-methods/02-algebraic-structures.tex:1235 · p. 72

Rests on

depends_on definition 4.36 Subgroup ¶
- 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 ¶
proves proof ch:02-algebraic-structures@proof-9 ¶

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type	direction	node	provenance	where
`depends_on`	→	Subgroup	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1237
`proves`	←	ch:02-algebraic-structures@proof-9	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1240