Common expressions for the theory of proveit.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 import Function
from proveit import P, k, m, n
from proveit.logic import Set, Difference
from proveit.numbers import Add, Complex, zero, one
%begin common

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

Pzero = Function(P, zero)

Pzero:

Pone = Function(P, one)

Pone:

Pn = Function(P, n)

Pn:

P_nAddOne = Function(P, Add(n, one))

P_nAddOne:

Pm = Function(P, m)

Pm:

P_mAddOne = Function(P, Add(m, one))

P_mAddOne:

Pk = Function(P, k)

Pk:

%end common

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