OpetopicTree
from opetopy.UnnamedOpetope import Graft as OptGraft
from opetopy.UnnamedOpetope import Shift as OptShift
# Derivation of ω
omega = OptGraft(OptShift(OpetopicInteger(2)), OpetopicInteger(2),
address([['*']]))
# Faster way:
# >>> omega = OpetopicTree([None, [None, None]])
# Derivation of a
classic = Point(None, "a") # type: RuleInstance
# Derivation of f
classic = Graft(classic, pastingDiagram(Arrow(), {address([], 0): "a"}))
classic = Shift(classic, "a", "f")
# Derivation of α
classic = Graft(
classic,
pastingDiagram(OpetopicInteger(2), {
address([], 1): "f",
address(['*']): "f"
}))
classic = Shift(classic, "f", "α")
# Derivation of β
classic = Graft(
classic,
pastingDiagram(OpetopicInteger(3), {
import sys
sys.path.insert(0, "../")
from opetopy.UnnamedOpetope import address, Arrow, OpetopicInteger
from opetopy.UnnamedOpetopicSet import Graft, pastingDiagram, Point, \
RuleInstance, Shift
from opetopy.UnnamedOpetopicCategory import TFill
# Derive points
proof = Point(None, ["a", "b", "c"]) # type: RuleInstance
# Derive f
proof = Graft(
proof, pastingDiagram(
Arrow(),
{
address('*'): "a"
}))
proof = Shift(proof, "b", "f")
# Derive g
proof = Graft(
proof, pastingDiagram(
Arrow(),
{
address('*'): "b"
}))
proof = Shift(proof, "c", "g")
# Derive the composition cells
proof = Graft(
import sys
sys.path.insert(0, "../")
from opetopy.UnnamedOpetopicSet import Graft, pastingDiagram, Point, \
RuleInstance, Shift
from opetopy.UnnamedOpetope import address, Arrow
ar = Point(None, "a") # type: RuleInstance
ar = Point(ar, "b")
ar = Graft(ar, pastingDiagram(Arrow(), {address([], 0): "a"}))
ar = Shift(ar, "b", "f")
print(ar.eval())