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 ExprRange, ExprTuple, U, Variable, m
from proveit.logic import Set
from proveit.numbers import Add, Interval, one, two
from proveit.physics.quantum import CONTROL
from proveit.physics.quantum.circuits import Gate, MultiQubitElem

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(MultiQubitElem(element = CONTROL, targets = Set(two)), ExprRange(sub_expr1, MultiQubitElem(element = Gate(operation = U, part = sub_expr1), targets = Interval(two, Add(m, two))), one, Add(m, one)))

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{CONTROL~\mbox{on}~\left\{2\right\}} & \qw 
} \end{array},\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\mbox{part}~1~\mbox{on}~\{2~\ldotp \ldotp~m + 2\}} & \qw 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\mbox{part}~2~\mbox{on}~\{2~\ldotp \ldotp~m + 2\}} & \qw 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\mbox{part}~m + 1~\mbox{on}~\{2~\ldotp \ldotp~m + 2\}} & \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	Operation	operator: 13 operands: 3
2	ExprRange	lambda_map: 4 start_index: 15 end_index: 5
3	NamedExprs	element: 6 targets: 7
4	Lambda	parameter: 23 body: 9
5	Operation	operator: 25 operands: 10
6	Literal
7	Operation	operator: 11 operand: 28
8	ExprTuple	23
9	Operation	operator: 13 operands: 14
10	ExprTuple	27, 15
11	Literal
12	ExprTuple	28
13	Literal
14	NamedExprs	element: 16 targets: 17
15	Literal
16	Operation	operator: 18 operands: 19
17	Operation	operator: 20 operands: 21
18	Literal
19	NamedExprs	operation: 22 part: 23
20	Literal
21	ExprTuple	28, 24
22	Variable
23	Variable
24	Operation	operator: 25 operands: 26
25	Literal
26	ExprTuple	27, 28
27	Variable
28	Literal