Assertion: symmetry | /r/CapableOf | imply translational symmetry
Facets:
value: with respect to all translations
type: OTHER
Source sentences:
text: Symmetry with respect to all rotations about all points implies translational symmetry with respect to all translations (because translations are compositions of rotations about distinct points), and the symmetry group is the whole E+(m).
text: Symmetry with respect to all rotations about all points implies translational symmetry with respect to all translations, so space is homogeneous, and the symmetry group is the whole E(m).