def prop_all_even(self):
'''Idempotence of implies(f)
'''
return forall(
self.evens,
is_even,
)
def prop_all_included(self):
t = implies(lambda i: i < self.depth, int)
vals = values(self.depth, t)
return forall(
int,
lambda i: i in vals if i < self.depth else True,
)
def prop_all_lists_are_sorted():
return forall(List[int], is_sorted)
def prop_nested():
return speccer.forall(List[int],
lambda xs: speccer.forall(int,
lambda y: y in xs))
def prop_all_contained(self):
vals = values(self.depth, self.evens)
return forall(
implies(lambda i: i < self.depth, int),
lambda i: i in vals if is_even(i) else True,
)
def prop_nested():
return speccer.forall(List[int],
lambda xs: speccer.forall(int, lambda y: y in xs))
