Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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, Variable, VertExprArray, t
from proveit.linear_algebra import TensorProd
from proveit.numbers import Add, Interval, Neg, one, two, zero
from proveit.physics.quantum.QPE import _ket_u, _psi_t_ket, _s
from proveit.physics.quantum.circuits import MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(t, _s)
sub_expr3 = TensorProd(_psi_t_ket, _ket_u)
sub_expr4 = Interval(one, sub_expr2)
expr = ExprTuple(Qcircuit(vert_expr_array = VertExprArray(Variable("_b", latex_format = r"{_{-}b}"))), Qcircuit(vert_expr_array = VertExprArray([MultiQubitElem(element = Output(state = sub_expr3, part = one), targets = sub_expr4), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = sub_expr3, part = Add(sub_expr1, t)), targets = sub_expr4), Add(Neg(t), two), zero), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = sub_expr3, part = sub_expr1), targets = sub_expr4), Add(t, one), sub_expr2).with_wrapping_at(2,6)])))

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{\begin{array}{c} \uparrow \\{_{-}b} \\ \downarrow\end{array}} & \qw
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \multiqout{2}{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle} \\
& \ghostqout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle} \\
& \ghostqout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle} \\
& \qout{\vdots} \qwx[1] \\
& \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~0 + t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} \qwx[1] \\
& \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~t + 1~\mbox{on}~\{1~\ldotp \ldotp~t + s\}}
} \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: 4 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	Variable
7	ExprTuple	8, 9, 10
8	Operation	operator: 27 operands: 11
9	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
10	ExprRange	lambda_map: 15 start_index: 16 end_index: 41
11	NamedExprs	element: 17 targets: 32
12	Lambda	parameter: 47 body: 18
13	Operation	operator: 45 operands: 19
14	Literal
15	Lambda	parameter: 47 body: 21
16	Operation	operator: 45 operands: 22
17	Operation	operator: 34 operands: 23
18	Operation	operator: 27 operands: 24
19	ExprTuple	25, 26
20	ExprTuple	47
21	Operation	operator: 27 operands: 28
22	ExprTuple	53, 40
23	NamedExprs	state: 39 part: 40
24	NamedExprs	element: 29 targets: 32
25	Operation	operator: 30 operand: 53
26	Literal
27	Literal
28	NamedExprs	element: 31 targets: 32
29	Operation	operator: 34 operands: 33
30	Literal
31	Operation	operator: 34 operands: 35
32	Operation	operator: 36 operands: 37
33	NamedExprs	state: 39 part: 38
34	Literal
35	NamedExprs	state: 39 part: 47
36	Literal
37	ExprTuple	40, 41
38	Operation	operator: 45 operands: 42
39	Operation	operator: 43 operands: 44
40	Literal
41	Operation	operator: 45 operands: 46
42	ExprTuple	47, 53
43	Literal
44	ExprTuple	48, 49
45	Literal
46	ExprTuple	53, 50
47	Variable
48	Operation	operator: 51 operand: 53
49	Literal
50	Literal
51	Literal
52	ExprTuple	53
53	Variable