remark 18.22 Superseded, and in exactly what sense

open in the book · parts/03-classical-mechanics/01-kinematics.tex:664 · p. 726

remark -- no derivation owed by its kind

Rests on

depends_on proposition 18.20 The Galilean group ¶
- depends_on definition 4.73 External semidirect product ¶
  - depends_on definition 4.1 Cartesian product ¶
    - depends_on definition 3.28 Set ¶
  - depends_on definition 4.43 Group homomorphism ¶
    - depends_on definition 4.21 Group ¶
      - depends_on definition 4.11 Inverse element ¶
      - depends_on definition 4.20 Monoid ¶
    - depends_on definition 3.43 Map ¶
      - depends_on definition 3.24 Quantifiers ¶
      - depends_on definition 3.28 Set ¶ ↺
  - depends_on proposition 4.72 The automorphism group ¶
    - depends_on definition 4.45 Group automorphism ¶
      - depends_on definition 4.44 Group isomorphism ¶
    - depends_on definition 4.36 Subgroup ¶
      - depends_on definition 4.21 Group ¶ ↺
    - depends_on definition 4.48 Symmetric group ¶
      - depends_on definition 3.47 Bijective map ¶
    - proves proof ch:02-algebraic-structures@proof-27 ¶
- depends_on definition 18.18 Galilean transformation ¶
  - depends_on definition 18.8 Inertial frame of reference ¶
    - depends_on definition 18.7 Frame of reference ¶
      - depends_on definition 18.3 Particle ¶
    - depends_on definition 18.6 Free particle ¶
      - depends_on definition 18.3 Particle ¶ ↺
  - depends_on postulate 18.14 Absolute time ¶
  - depends_on postulate 18.16 Principle of Galilean relativity ¶
- depends_on example 4.78 The Euclidean group ¶
  - depends_on definition 4.73 External semidirect product ¶ ↺
  - depends_on proposition 4.77 When a semidirect product is direct ¶
    - depends_on definition 4.65 Direct product of groups ¶
      - depends_on definition 4.1 Cartesian product ¶ ↺
      - depends_on definition 4.21 Group ¶ ↺
    - depends_on definition 4.60 Normal subgroup ¶
      - depends_on definition 4.59 Conjugate subgroups ¶
      - depends_on definition 4.36 Subgroup ¶ ↺
    - depends_on proposition 4.75 The two factors inside the semidirect product ¶
      - depends_on definition 4.60 Normal subgroup ¶ ↺
      - depends_on definition 4.67 Product of subgroups ¶
      - depends_on proposition 4.74 The semidirect product is a group ¶
      - proves proof ch:02-algebraic-structures@proof-29 ¶
    - proves proof ch:02-algebraic-structures@proof-31 ¶
- proves proof ch:01-kinematics@proof-4 ¶
depends_on proposition 18.21 Galilean invariants ¶
- depends_on definition 18.18 Galilean transformation ¶ ↺
- depends_on postulate 18.14 Absolute time ¶ ↺
- proves proof ch:01-kinematics@proof-5 ¶

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type	direction	node	provenance	where
`cites`	→	The International System of Units (SI)	derived	parts/03-classical-mechanics/01-kinematics.tex:677
`depends_on`	→	The Galilean group	declared	parts/03-classical-mechanics/01-kinematics.tex:684
`depends_on`	→	Galilean invariants	declared	parts/03-classical-mechanics/01-kinematics.tex:684