Expression of type ExprTuple

from the theory of proveit.physics.quantum.circuits

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, IndexedVar, N, Variable, m
from proveit.core_expr_types import A_1_to_m
from proveit.linear_algebra import TensorProd
from proveit.numbers import Add, Interval, one, subtract
from proveit.physics.quantum.circuits import MultiQubitElem, N_m, Output

# build up the expression from sub-expressions
sub_expr1 = Variable("_c", latex_format = r"{_{-}c}")
sub_expr2 = Variable("_b", latex_format = r"{_{-}b}")
expr = ExprTuple(ExprRange(sub_expr1, ExprRange(sub_expr2, MultiQubitElem(element = Output(state = TensorProd(A_1_to_m), part = sub_expr2), targets = Interval(one, N_m)), Add(IndexedVar(N, subtract(sub_expr1, one)), one), IndexedVar(N, sub_expr1)).with_wrapping_at(2,6), one, m))

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{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{1 - 1} + 1~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{1 - 1} + 2~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{1}~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{2 - 1} + 1~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{2 - 1} + 2~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{2}~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}, \ldots\ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{m - 1} + 1~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{m - 1} + 2~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~N_{m}~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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