Common expressions for the theory of proveit.numbers.number_sets.natural_numbers

import proveit
# Prepare this notebook for defining the common expressions of a theory:
%common_expressions_notebook # Keep this at the top following 'import proveit'.
from proveit.logic import Set
from proveit.numbers.number_sets.natural_numbers.natural import NaturalSet, NaturalPosSet
from proveit.numbers import zero

%begin common

Defining common sub-expressions for theory 'proveit.numbers.number_sets.natural_numbers'
Subsequent end-of-cell assignments will define common sub-expressions
%end_common will finalize the definitions

ZeroSet = Set(zero)

ZeroSet:

Natural, NaturalPos = NaturalSet(), NaturalPosSet()

Natural:

NaturalPos:

%end common

These common expressions may now be imported from the theory package: proveit.numbers.number_sets.natural_numbers