def setUp(self):
self.p = UnnamedOpetopicSet.Typing(
UnnamedOpetopicSet.Variable("p", UnnamedOpetope.Point()),
UnnamedOpetopicSet.Type(UnnamedOpetopicSet.PastingDiagram.point(),
None))
self.a = UnnamedOpetopicSet.Typing(
UnnamedOpetopicSet.Variable("a",
UnnamedOpetope.OpetopicInteger(0)),
UnnamedOpetopicSet.Type(
UnnamedOpetopicSet.PastingDiagram.degeneratePastingDiagram(
UnnamedOpetope.OpetopicInteger(0), "p"),
UnnamedOpetopicSet.Variable("p", UnnamedOpetope.Arrow())))
self.b = UnnamedOpetopicSet.Typing(
UnnamedOpetopicSet.Variable("b",
UnnamedOpetope.OpetopicInteger(0)),
UnnamedOpetopicSet.Type(
UnnamedOpetopicSet.PastingDiagram.degeneratePastingDiagram(
UnnamedOpetope.OpetopicInteger(0), "p"),
UnnamedOpetopicSet.Variable("p", UnnamedOpetope.Arrow())))
self.c = UnnamedOpetopicSet.Typing(
UnnamedOpetopicSet.Variable("c",
UnnamedOpetope.OpetopicInteger(2)),
UnnamedOpetopicSet.Type(
UnnamedOpetopicSet.PastingDiagram.nonDegeneratePastingDiagram(
UnnamedOpetope.OpetopicInteger(2), {
UnnamedOpetope.Address.epsilon(1): "x",
UnnamedOpetope.Address.epsilon(0).shift(): "y"
}), UnnamedOpetopicSet.Variable("z",
UnnamedOpetope.Arrow())))
self.ctx = UnnamedOpetopicSet.Context() + self.p + self.a + self.c
def test___init__(self):
UnnamedOpetopicSet.Type(
self.s, UnnamedOpetopicSet.Variable("t", UnnamedOpetope.Arrow()))
with self.assertRaises(DerivationError):
UnnamedOpetopicSet.Type(
self.s, UnnamedOpetopicSet.Variable("t",
UnnamedOpetope.Point()))
UnnamedOpetopicSet.Type(UnnamedOpetopicSet.PastingDiagram.point(),
None)
with self.assertRaises(DerivationError):
UnnamedOpetopicSet.Type(self.s, None)
def setUp(self):
self.type_point = UnnamedOpetopicSet.Type(
UnnamedOpetopicSet.PastingDiagram.point(), None)
self.a = UnnamedOpetopicSet.Variable("a", UnnamedOpetope.Point())
self.b = UnnamedOpetopicSet.Variable("b", UnnamedOpetope.Point())
self.c = UnnamedOpetopicSet.Variable("c", UnnamedOpetope.Point())
self.d = UnnamedOpetopicSet.Variable("d", UnnamedOpetope.Point())
self.ab = UnnamedOpetopicSet.Variable("ab", UnnamedOpetope.Arrow())
self.ac = UnnamedOpetopicSet.Variable("ac", UnnamedOpetope.Arrow())
self.bc = UnnamedOpetopicSet.Variable("bc", UnnamedOpetope.Arrow())
self.cd = UnnamedOpetopicSet.Variable("cd", UnnamedOpetope.Arrow())
self.seq = UnnamedOpetopicSet.Sequent()
self.seq.context = UnnamedOpetopicSet.Context() + \
UnnamedOpetopicSet.Typing(self.a, self.type_point) + \
UnnamedOpetopicSet.Typing(self.b, self.type_point) + \
UnnamedOpetopicSet.Typing(self.c, self.type_point) + \
UnnamedOpetopicSet.Typing(self.d, self.type_point) + \
UnnamedOpetopicSet.Typing(
self.ab, self.type_arrow("a", self.b)) + \
UnnamedOpetopicSet.Typing(
self.ac, self.type_arrow("a", self.c)) + \
UnnamedOpetopicSet.Typing(
self.bc, self.type_arrow("b", self.c)) + \
UnnamedOpetopicSet.Typing(
self.cd, self.type_arrow("c", self.d))
def setUp(self):
self.t = UnnamedOpetopicSet.Type(
UnnamedOpetopicSet.PastingDiagram.nonDegeneratePastingDiagram(
UnnamedOpetope.OpetopicInteger(2), {
UnnamedOpetope.Address.epsilon(1): "a",
UnnamedOpetope.Address.epsilon(0).shift(): "b"
}), UnnamedOpetopicSet.Variable("t", UnnamedOpetope.Arrow()))
def type_arrow(
self, src: str,
tgt: UnnamedOpetopicSet.Variable) -> UnnamedOpetopicSet.Type:
"""
Convenient function to define the type of an arrow shaped cell
"""
return UnnamedOpetopicSet.Type(
UnnamedOpetopicSet.PastingDiagram.nonDegeneratePastingDiagram(
UnnamedOpetope.Arrow(),
{UnnamedOpetope.Address.epsilon(0): src}), tgt)