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 B, D, ExprTuple, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, ket_psi, ket_varphi
# build up the expression from sub-expressions
sub_expr1 = Qmult(B, ket_psi)
expr = ExprTuple(Qmult(alpha, D, beta, VecAdd(sub_expr1, ket_varphi)), VecAdd(Qmult(alpha, D, beta, sub_expr1), Qmult(alpha, D, beta, ket_varphi)))
# 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()