Modelisation of Containment in Sage
There are a lot of different usage of containment:
Objectifs:
- Complete proven test
Probably true results is_prime
Fast test to rule out trivially wrong answer: three possible aswers: False, True, Unknown
- short idiom to raise an error if the answer is False (eg: for type check)
- containment module modulo identification/isomorphisms... Coercion/conversion.
Notes:
- very similar question can be raised about equality
Needs: Let P be a parent and x a python data structure
P(X) build an element of P
coercion P.coerce(X)
we need a standardized way to write a function which is suppose to get an element of P but can take any coercible(convertible?) for syntactic sugar.
- explicit conversion but without costly test.