up to
MATHEMATICAL STATEMENT OF UNIQUENESS, EXCEPT FOR AN EQUIVALENT STRUCTURE (EQUIVALENCE RELATION)
Up to symmetry; Up to isomorphism; Modulo isomorphism
1. as far as.
(also up until) until.
2. indicating a maximum amount.
3. [with negative or in questions] good enough for.
4. capable of.
5. the duty or choice of.
6. informal occupied with.