proposition 4.55 $S_3$ and the equilateral triangle

open in the book · parts/02-mathematical-methods/02-algebraic-structures.tex:1904 · p. 81

Rests on

depends_on definition 4.44 Group isomorphism ¶
- 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 4.20 Monoid ¶
      - depends_on definition 4.9 Neutral element ¶ ↺
      - depends_on definition 4.18 Semigroup ¶
  - depends_on definition 3.43 Map ¶
    - depends_on definition 3.24 Quantifiers ¶
      - depends_on definition 3.23 Predicate ¶
    - depends_on definition 3.28 Set ¶
- depends_on definition 3.47 Bijective map ¶
depends_on equation 4.30 eq:alg-s3-elements ¶
proves proof ch:02-algebraic-structures@proof-18 ¶

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type	direction	node	provenance	where
`depends_on`	→	Group isomorphism	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1911
`depends_on`	→	eq:alg-s3-elements	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1911
`proves`	←	ch:02-algebraic-structures@proof-18	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1914