Expression of type ExprTuple

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 ExprRange, ExprTuple, Variable, t
from proveit.linear_algebra import TensorProd
from proveit.numbers import Add, Interval, Neg, one, two, zero
from proveit.physics.quantum.QPE import _ket_u, _psi_t_ket, _s
from proveit.physics.quantum.circuits import MultiQubitElem, Output

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(t, _s)
sub_expr3 = TensorProd(_psi_t_ket, _ket_u)
sub_expr4 = Interval(one, sub_expr2)
expr = ExprTuple(MultiQubitElem(element = Output(state = sub_expr3, part = one), targets = sub_expr4), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = sub_expr3, part = Add(sub_expr1, t)), targets = sub_expr4), Add(Neg(t), two), zero), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = sub_expr3, part = sub_expr1), targets = sub_expr4), Add(t, one), sub_expr2).with_wrapping_at(2,6))

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}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array},\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~\left(-t + 2\right) + t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~\left(-t + 3\right) + t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~0 + t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array},\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~t + 1~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~t + 2~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~t + s~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2, 3
1	Operation	operator: 20 operands: 4
2	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
3	ExprRange	lambda_map: 8 start_index: 9 end_index: 34
4	NamedExprs	element: 10 targets: 25
5	Lambda	parameter: 40 body: 11
6	Operation	operator: 38 operands: 12
7	Literal
8	Lambda	parameter: 40 body: 14
9	Operation	operator: 38 operands: 15
10	Operation	operator: 27 operands: 16
11	Operation	operator: 20 operands: 17
12	ExprTuple	18, 19
13	ExprTuple	40
14	Operation	operator: 20 operands: 21
15	ExprTuple	46, 33
16	NamedExprs	state: 32 part: 33
17	NamedExprs	element: 22 targets: 25
18	Operation	operator: 23 operand: 46
19	Literal
20	Literal
21	NamedExprs	element: 24 targets: 25
22	Operation	operator: 27 operands: 26
23	Literal
24	Operation	operator: 27 operands: 28
25	Operation	operator: 29 operands: 30
26	NamedExprs	state: 32 part: 31
27	Literal
28	NamedExprs	state: 32 part: 40
29	Literal
30	ExprTuple	33, 34
31	Operation	operator: 38 operands: 35
32	Operation	operator: 36 operands: 37
33	Literal
34	Operation	operator: 38 operands: 39
35	ExprTuple	40, 46
36	Literal
37	ExprTuple	41, 42
38	Literal
39	ExprTuple	46, 43
40	Variable
41	Operation	operator: 44 operand: 46
42	Literal
43	Literal
44	Literal
45	ExprTuple	46
46	Variable