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 R11_to_Rkm, S11_to_Skm, T11_to_Tlm

# build up the expression from sub-expressions
expr = ExprTuple(R11_to_Rkm, S11_to_Skm, T11_to_Tlm)

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