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 ExprTuple
from proveit.physics.quantum.circuits import circuit__u_Akl_v

# build up the expression from sub-expressions
expr = ExprTuple(circuit__u_Akl_v)

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{
\multiqin{3}{\lvert u \rangle} & \gate{A_{1, 1}} \qwx[1] & \gate{A_{2, 1}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{A_{k, 1}} \qwx[1] & \multiqout{3}{\lvert v \rangle} \\
\ghostqin{\lvert u \rangle} & \gate{A_{1, 2}} \qwx[1] & \gate{A_{2, 2}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{A_{k, 2}} \qwx[1] & \ghostqout{\lvert v \rangle} \\
\ghostqin{\lvert u \rangle} & \gate{\vdots} \qwx[1] & \gate{\vdots} \qwx[1] & \gate{\ddots} \qwx[1] & \gate{\vdots} \qwx[1] & \ghostqout{\lvert v \rangle} \\
\ghostqin{\lvert u \rangle} & \gate{A_{1, l}} & \gate{A_{2, l}} & \gate{\cdots} & \gate{A_{k, l}} & \ghostqout{\lvert v \rangle}
} \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	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5, 6
4	ExprTuple	7
5	ExprRange	lambda_map: 8 start_index: 39 end_index: 9
6	ExprTuple	10
7	ExprRange	lambda_map: 11 start_index: 39 end_index: 40
8	Lambda	parameter: 36 body: 13
9	Variable
10	ExprRange	lambda_map: 14 start_index: 39 end_index: 40
11	Lambda	parameter: 38 body: 15
12	ExprTuple	36
13	ExprTuple	16
14	Lambda	parameter: 38 body: 17
15	Operation	operator: 20 operands: 18
16	ExprRange	lambda_map: 19 start_index: 39 end_index: 40
17	Operation	operator: 20 operands: 21
18	NamedExprs	element: 22 targets: 26
19	Lambda	parameter: 38 body: 24
20	Literal
21	NamedExprs	element: 25 targets: 26
22	Operation	operator: 27 operands: 28
23	ExprTuple	38
24	IndexedVar	variable: 29 indices: 30
25	Operation	operator: 31 operands: 32
26	Operation	operator: 33 operands: 34
27	Literal
28	NamedExprs	state: 35 part: 38
29	Variable
30	ExprTuple	36, 38
31	Literal
32	NamedExprs	state: 37 part: 38
33	Literal
34	ExprTuple	39, 40
35	Variable
36	Variable
37	Variable
38	Variable
39	Literal
40	Variable