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.logic import And
from proveit.numbers import Abs, Less, LessEq, Mod, frac, pi, two, zero
from proveit.physics.quantum.QPE import SubIndexed, _alpha, _b_round, _two_pow_t
# build up the expression from sub-expressions
sub_expr1 = frac(two, pi)
expr = And(LessEq(zero, sub_expr1), Less(sub_expr1, Abs(SubIndexed(_alpha, [Mod(_b_round, _two_pow_t)]))))
# 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()