Assertion: isometry | /r/HasProperty | bijection
Facets:
value: necessarily
type: MANNER
Source sentences:
text: Prove that an isometry must be a bijection.
text: An isometry is global if it is a bijection whose inverse is also an isometry.
text: An isometry between two metric spaces is a bijection preserving the distance,[b] that is
text: We defined an isometry to be a bijection $f
text: Note that this does not mean that isometries are necessarily bijections.