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from typing import Any, TypeVar
import act4e_interfaces as I
from act4e_interfaces import FiniteRelation
E1 = TypeVar("E1")
E2 = TypeVar("E2")
E3 = TypeVar("E3")
E = TypeVar("E")
A = TypeVar("A")
B = TypeVar("B")
class SolFiniteRelationProperties(I.FiniteRelationProperties):
def is_surjective(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
def is_defined_everywhere(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
def is_injective(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
def is_single_valued(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
class SolFiniteRelationOperations(I.FiniteRelationOperations):
def transpose(self, fr: I.FiniteRelation[A, B]) -> I.FiniteRelation[B, A]:
raise NotImplementedError()
def as_relation(self, f: I.FiniteMap[A, B]) -> I.FiniteRelation[A, B]:
raise NotImplementedError()
class SolFiniteEndorelationProperties(I.FiniteEndorelationProperties):
def is_reflexive(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
def is_irreflexive(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
def is_transitive(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
def is_symmetric(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
def is_antisymmetric(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
def is_asymmetric(self, fr: I.FiniteRelation[Any, Any]) -> bool:
raise NotImplementedError()
class SolFiniteEndorelationOperations(I.FiniteEndorelationOperations):
def transitive_closure(self, fr: I.FiniteRelation[E, E]) -> I.FiniteRelation[E, E]:
raise NotImplementedError()
class SolFiniteRelationCompose(I.FiniteRelationCompose):
def compose(self, fr1: FiniteRelation[E1, E2], fr2: FiniteRelation[E2, E3]) -> I.FiniteRelation[E1, E3]:
raise NotImplementedError()
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