import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import Conditional, Lambda, Px, d, x, y, z
from proveit.logic import And, Equals, InSet, NotEquals
from proveit.numbers import Complex, Interval, Sum, frac, zero
# build up the expression from sub-expressions
sub_expr1 = [x]
sub_expr2 = Interval(y, z)
expr = Lambda(d, Conditional(Equals(frac(Sum(index_or_indices = sub_expr1, summand = Px, domain = sub_expr2), d), Sum(index_or_indices = sub_expr1, summand = frac(Px, d), domain = sub_expr2)), And(InSet(d, Complex), NotEquals(d, zero))))
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
stored_expr.style_options()
# display the expression information
stored_expr.expr_info()