def bundle_equality(self, num_levels=2, **defaults_config):
'''
Given a nested forall, equate it with an equivalent form in
which a given number of nested levels is bundled together.
For example,
\forall_{x, y | Q(x, y)} \forall_{z | R(z)} P(x, y, z)
can be equated with
\forall_{x, y, z | Q(x, y), R(z)} P(x, y, z)
via bundle with num_levels=2.
'''
from proveit import bundle # generic for OperationOverInstances
from . import bundling
return bundle(self, bundling, num_levels=num_levels)
def bundle(self, num_levels=2, *, assumptions=USE_DEFAULTS):
'''
Given a nested forall, derive an equivalent form in which a
given number of nested levels is bundled together.
For example,
\forall_{x, y | Q(x, y)} \forall_{z | R(z)} P(x, y, z)
can become
\forall_{x, y, z | Q(x, y), R(z)} P(x, y, z)
via bundle with num_levels=2.
'''
from proveit import bundle # generic for OperationOverInstances
from ._theorems_ import bundle as bundle_thm
return bundle(self,
bundle_thm,
num_levels=num_levels,
assumptions=assumptions)