proposition 4.26 Involution of the inverse
open in the book ·
parts/02-mathematical-methods/02-algebraic-structures.tex:658
· p. 65
Rests on
-
depends_on
proposition 4.25
Neutral element equal to a product
¶
-
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 4.9
Neutral element
¶
-
depends_on
definition 4.20
Monoid
¶
- depends_on definition 4.9 Neutral element ¶ ↺
-
depends_on
definition 4.18
Semigroup
¶
- depends_on definition 4.6 Associativity ¶
- depends_on definition 4.4 Internal binary operation; magma ¶
-
depends_on
definition 4.11
Inverse element
¶
- proves proof ch:02-algebraic-structures@proof-6 ¶
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depends_on
definition 4.21
Group
¶
- proves proof ch:02-algebraic-structures@proof-7 ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Neutral element equal to a product | declared | parts/02-mathematical-methods/02-algebraic-structures.tex:663 |
proves |
← | ch:02-algebraic-structures@proof-7 | declared | parts/02-mathematical-methods/02-algebraic-structures.tex:666 |