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 A, C, ExprRange, ExprTuple, IndexedVar, R, T, Variable, k, l
from proveit.numbers import one
from proveit.physics.quantum.circuits import MultiQubitElem

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [Variable("_b", latex_format = r"{_{-}b}"), sub_expr1]
expr = ExprTuple(ExprRange(sub_expr1, MultiQubitElem(element = IndexedVar(A, sub_expr2), targets = IndexedVar(R, sub_expr2)), one, k), ExprRange(sub_expr1, MultiQubitElem(element = IndexedVar(C, sub_expr2), targets = IndexedVar(T, sub_expr2)), one, l))

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{
& & \gate{A_{{_{-}b}, 1}~\mbox{on}~R_{{_{-}b}, 1}} & \qw 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{A_{{_{-}b}, 2}~\mbox{on}~R_{{_{-}b}, 2}} & \qw 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{A_{{_{-}b}, k}~\mbox{on}~R_{{_{-}b}, k}} & \qw 
} \end{array},\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{{_{-}b}, 1}~\mbox{on}~T_{{_{-}b}, 1}} & \qw 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{{_{-}b}, 2}~\mbox{on}~T_{{_{-}b}, 2}} & \qw 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{{_{-}b}, l}~\mbox{on}~T_{{_{-}b}, l}} & \qw 
} \end{array}\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	ExprRange	lambda_map: 3 start_index: 6 end_index: 4
2	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
3	Lambda	parameter: 24 body: 8
4	Variable
5	Lambda	parameter: 24 body: 10
6	Literal
7	Variable
8	Operation	operator: 12 operands: 11
9	ExprTuple	24
10	Operation	operator: 12 operands: 13
11	NamedExprs	element: 14 targets: 15
12	Literal
13	NamedExprs	element: 16 targets: 17
14	IndexedVar	variable: 18 indices: 22
15	IndexedVar	variable: 19 indices: 22
16	IndexedVar	variable: 20 indices: 22
17	IndexedVar	variable: 21 indices: 22
18	Variable
19	Variable
20	Variable
21	Variable
22	ExprTuple	23, 24
23	Variable
24	Variable