Expression of type NamedExprs

from the theory of proveit.physics.quantum.QPE

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 NamedExprs, Variable, t
from proveit.numbers import Interval, Mult, one
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.QPE import phase, two_pow_t
from proveit.physics.quantum.circuits import Output

# build up the expression from sub-expressions
expr = NamedExprs(("element", Output(state = NumKet(Mult(two_pow_t, phase), t), part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(one, t)))

expr:

# 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")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left\{ \begin{array}{l}
{\rm element}: \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert 2^{t} \cdot \varphi \rangle_{t}~\mbox{part}~{_{-}a}} 
} \end{array}\\
{\rm targets}: \{1~\ldotp \ldotp~t\}\\
\end{array} \right\}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	NamedExprs	element: 1 targets: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	NamedExprs	state: 7 part: 8
5	Literal
6	ExprTuple	9, 20
7	Operation	operator: 10 operands: 11
8	Variable
9	Literal
10	Literal
11	ExprTuple	12, 20
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	Operation	operator: 17 operands: 18
16	Variable
17	Literal
18	ExprTuple	19, 20
19	Literal
20	Variable