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_Akm, B11_to_Bkn, R11_to_Rkm, S11_to_Skn

# build up the expression from sub-expressions
expr = ExprTuple(A11_to_Akm, R11_to_Rkm, B11_to_Bkn, S11_to_Skn)

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(A_{1, 1}, A_{1, 2}, \ldots, A_{1, m}, A_{2, 1}, A_{2, 2}, \ldots, A_{2, m}, \ldots\ldots, A_{k, 1}, A_{k, 2}, \ldots, A_{k, m},R_{1, 1}, R_{1, 2}, \ldots, R_{1, m}, R_{2, 1}, R_{2, 2}, \ldots, R_{2, m}, \ldots\ldots, R_{k, 1}, R_{k, 2}, \ldots, R_{k, m},B_{1, 1}, B_{1, 2}, \ldots, B_{1, n}, B_{2, 1}, B_{2, 2}, \ldots, B_{2, n}, \ldots\ldots, B_{k, 1}, B_{k, 2}, \ldots, B_{k, n},S_{1, 1}, S_{1, 2}, \ldots, S_{1, n}, S_{2, 1}, S_{2, 2}, \ldots, S_{2, n}, \ldots\ldots, S_{k, 1}, S_{k, 2}, \ldots, S_{k, n}\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, 4
1	ExprRange	lambda_map: 5 start_index: 20 end_index: 9
2	ExprRange	lambda_map: 6 start_index: 20 end_index: 9
3	ExprRange	lambda_map: 7 start_index: 20 end_index: 9
4	ExprRange	lambda_map: 8 start_index: 20 end_index: 9
5	Lambda	parameter: 32 body: 10
6	Lambda	parameter: 32 body: 11
7	Lambda	parameter: 32 body: 12
8	Lambda	parameter: 32 body: 14
9	Variable
10	ExprRange	lambda_map: 15 start_index: 20 end_index: 17
11	ExprRange	lambda_map: 16 start_index: 20 end_index: 17
12	ExprRange	lambda_map: 18 start_index: 20 end_index: 21
13	ExprTuple	32
14	ExprRange	lambda_map: 19 start_index: 20 end_index: 21
15	Lambda	parameter: 33 body: 22
16	Lambda	parameter: 33 body: 23
17	Variable
18	Lambda	parameter: 33 body: 24
19	Lambda	parameter: 33 body: 26
20	Literal
21	Variable
22	IndexedVar	variable: 27 indices: 31
23	IndexedVar	variable: 28 indices: 31
24	IndexedVar	variable: 29 indices: 31
25	ExprTuple	33
26	IndexedVar	variable: 30 indices: 31
27	Variable
28	Variable
29	Variable
30	Variable
31	ExprTuple	32, 33
32	Variable
33	Variable