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.core_expr_types.expr_arrays import A11_to_Akl_varray, B11_to_Bkl_varray

# build up the expression from sub-expressions
expr = ExprTuple(A11_to_Akl_varray, B11_to_Bkl_varray)

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(\left(\begin{array}{cccc} 
 A_{1, 1} & A_{2, 1} & \cdots & A_{k, 1} \\
A_{1, 2} & A_{2, 2} & \cdots & A_{k, 2} \\
\vdots & \vdots & \ddots & \vdots \\
A_{1, l} & A_{2, l} & \cdots & A_{k, l} \\
\end{array}
\right), \left(\begin{array}{cccc} 
 B_{1, 1} & B_{2, 1} & \cdots & B_{k, 1} \\
B_{1, 2} & B_{2, 2} & \cdots & B_{k, 2} \\
\vdots & \vdots & \ddots & \vdots \\
B_{1, l} & B_{2, l} & \cdots & B_{k, l} \\
\end{array}
\right)\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
1	ExprTuple	3
2	ExprTuple	4
3	ExprRange	lambda_map: 5 start_index: 15 end_index: 7
4	ExprRange	lambda_map: 6 start_index: 15 end_index: 7
5	Lambda	parameter: 23 body: 8
6	Lambda	parameter: 23 body: 10
7	Variable
8	ExprTuple	11
9	ExprTuple	23
10	ExprTuple	12
11	ExprRange	lambda_map: 13 start_index: 15 end_index: 16
12	ExprRange	lambda_map: 14 start_index: 15 end_index: 16
13	Lambda	parameter: 24 body: 17
14	Lambda	parameter: 24 body: 19
15	Literal
16	Variable
17	IndexedVar	variable: 20 indices: 22
18	ExprTuple	24
19	IndexedVar	variable: 21 indices: 22
20	Variable
21	Variable
22	ExprTuple	23, 24
23	Variable
24	Variable