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 m
from proveit.logic import Equals
from proveit.numbers import Add, Mult, Neg, frac, i, pi, subtract, two
from proveit.physics.quantum.QPE import _phase, _two_pow_t
# build up the expression from sub-expressions
sub_expr1 = Mult(two, pi, i)
sub_expr2 = frac(m, _two_pow_t)
expr = Equals(Mult(sub_expr1, subtract(_phase, sub_expr2)), Add(Mult(sub_expr1, _phase), Mult(sub_expr1, Neg(sub_expr2)))).with_wrapping_at(2)
# 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()