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 ExprTuple
from proveit.physics.quantum.QPE import _Omega, _sample_space

# build up the expression from sub-expressions
expr = ExprTuple(_Omega, _sample_space)

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(\Omega, \left\{\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert + \rangle} & \multigate{4}{\textrm{QPE}\left(U, t\right)} & \meter & \multiqout{3}{\lvert m \rangle_{t}} \\
\qin{\lvert + \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} & \ghost{\textrm{QPE}\left(U, t\right)} & \measure{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\lvert + \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\lvert u \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & { /^{s} } \qw & \qout{\lvert u \rangle}
} \end{array}\right\}_{m \in \{0~\ldotp \ldotp~2^{t} - 1\}}\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	Literal
2	Operation	operator: 3 operand: 5
3	Literal
4	ExprTuple	5
5	Lambda	parameter: 99 body: 7
6	ExprTuple	99
7	Conditional	value: 8 condition: 9
8	Operation	operator: 10 operands: 11
9	Operation	operator: 12 operands: 13
10	Literal
11	ExprTuple	14, 15, 16, 17
12	Literal
13	ExprTuple	99, 18
14	ExprTuple	19, 20
15	ExprTuple	21, 22
16	ExprTuple	23, 24
17	ExprTuple	25, 26
18	Operation	operator: 81 operands: 27
19	ExprRange	lambda_map: 28 start_index: 100 end_index: 101
20	ExprRange	lambda_map: 29 start_index: 100 end_index: 102
21	ExprRange	lambda_map: 30 start_index: 100 end_index: 101
22	ExprRange	lambda_map: 30 start_index: 89 end_index: 90
23	ExprRange	lambda_map: 31 start_index: 100 end_index: 101
24	ExprRange	lambda_map: 32 start_index: 100 end_index: 102
25	ExprRange	lambda_map: 33 start_index: 100 end_index: 101
26	ExprRange	lambda_map: 34 start_index: 100 end_index: 102
27	ExprTuple	35, 36
28	Lambda	parameter: 88 body: 37
29	Lambda	parameter: 88 body: 38
30	Lambda	parameter: 88 body: 39
31	Lambda	parameter: 88 body: 40
32	Lambda	parameter: 88 body: 41
33	Lambda	parameter: 88 body: 42
34	Lambda	parameter: 88 body: 44
35	Literal
36	Operation	operator: 96 operands: 45
37	Operation	operator: 73 operands: 46
38	Operation	operator: 53 operands: 47
39	Operation	operator: 53 operands: 48
40	Operation	operator: 49 operands: 50
41	Operation	operator: 74 operands: 51
42	Operation	operator: 53 operands: 52
43	ExprTuple	88
44	Operation	operator: 53 operands: 54
45	ExprTuple	55, 56
46	NamedExprs	state: 57
47	NamedExprs	element: 58 targets: 66
48	NamedExprs	element: 59 targets: 60
49	Literal
50	NamedExprs	basis: 61
51	NamedExprs	operation: 62
52	NamedExprs	element: 63 targets: 64
53	Literal
54	NamedExprs	element: 65 targets: 66
55	Operation	operator: 67 operands: 68
56	Operation	operator: 69 operand: 100
57	Operation	operator: 71 operand: 84
58	Operation	operator: 73 operands: 80
59	Operation	operator: 74 operands: 75
60	Operation	operator: 81 operands: 76
61	Literal
62	Literal
63	Operation	operator: 79 operands: 77
64	Operation	operator: 81 operands: 78
65	Operation	operator: 79 operands: 80
66	Operation	operator: 81 operands: 82
67	Literal
68	ExprTuple	83, 101
69	Literal
70	ExprTuple	100
71	Literal
72	ExprTuple	84
73	Literal
74	Literal
75	NamedExprs	operation: 85 part: 88
76	ExprTuple	100, 90
77	NamedExprs	state: 86 part: 88
78	ExprTuple	100, 101
79	Literal
80	NamedExprs	state: 87 part: 88
81	Literal
82	ExprTuple	89, 90
83	Literal
84	Literal
85	Operation	operator: 91 operands: 92
86	Operation	operator: 93 operands: 94
87	Literal
88	Variable
89	Operation	operator: 96 operands: 95
90	Operation	operator: 96 operands: 97
91	Literal
92	ExprTuple	98, 101
93	Literal
94	ExprTuple	99, 101
95	ExprTuple	101, 100
96	Literal
97	ExprTuple	101, 102
98	Literal
99	Variable
100	Literal
101	Literal
102	Literal