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 _alpha_m_sqrd, _phase_est_circuit
from proveit.statistics import Prob

# build up the expression from sub-expressions
expr = ExprTuple(Prob(_phase_est_circuit), _alpha_m_sqrd)

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(\textrm{Pr}\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), \left|\alpha_{m}\right|^{2}\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: 3 operand: 7
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7
5	Literal
6	ExprTuple	8, 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operand: 18
9	Literal
10	Literal
11	ExprTuple	14, 15, 16, 17
12	Literal
13	ExprTuple	18
14	ExprTuple	19, 20
15	ExprTuple	21, 22
16	ExprTuple	23, 24
17	ExprTuple	25, 26
18	Operation	operator: 27 operand: 90
19	ExprRange	lambda_map: 29 start_index: 91 end_index: 92
20	ExprRange	lambda_map: 30 start_index: 91 end_index: 93
21	ExprRange	lambda_map: 31 start_index: 91 end_index: 92
22	ExprRange	lambda_map: 31 start_index: 80 end_index: 81
23	ExprRange	lambda_map: 32 start_index: 91 end_index: 92
24	ExprRange	lambda_map: 33 start_index: 91 end_index: 93
25	ExprRange	lambda_map: 34 start_index: 91 end_index: 92
26	ExprRange	lambda_map: 35 start_index: 91 end_index: 93
27	Literal
28	ExprTuple	90
29	Lambda	parameter: 79 body: 36
30	Lambda	parameter: 79 body: 37
31	Lambda	parameter: 79 body: 38
32	Lambda	parameter: 79 body: 39
33	Lambda	parameter: 79 body: 40
34	Lambda	parameter: 79 body: 41
35	Lambda	parameter: 79 body: 43
36	Operation	operator: 65 operands: 44
37	Operation	operator: 51 operands: 45
38	Operation	operator: 51 operands: 46
39	Operation	operator: 47 operands: 48
40	Operation	operator: 66 operands: 49
41	Operation	operator: 51 operands: 50
42	ExprTuple	79
43	Operation	operator: 51 operands: 52
44	NamedExprs	state: 53
45	NamedExprs	element: 54 targets: 62
46	NamedExprs	element: 55 targets: 56
47	Literal
48	NamedExprs	basis: 57
49	NamedExprs	operation: 58
50	NamedExprs	element: 59 targets: 60
51	Literal
52	NamedExprs	element: 61 targets: 62
53	Operation	operator: 63 operand: 75
54	Operation	operator: 65 operands: 72
55	Operation	operator: 66 operands: 67
56	Operation	operator: 73 operands: 68
57	Literal
58	Literal
59	Operation	operator: 71 operands: 69
60	Operation	operator: 73 operands: 70
61	Operation	operator: 71 operands: 72
62	Operation	operator: 73 operands: 74
63	Literal
64	ExprTuple	75
65	Literal
66	Literal
67	NamedExprs	operation: 76 part: 79
68	ExprTuple	91, 81
69	NamedExprs	state: 77 part: 79
70	ExprTuple	91, 92
71	Literal
72	NamedExprs	state: 78 part: 79
73	Literal
74	ExprTuple	80, 81
75	Literal
76	Operation	operator: 82 operands: 83
77	Operation	operator: 84 operands: 85
78	Literal
79	Variable
80	Operation	operator: 87 operands: 86
81	Operation	operator: 87 operands: 88
82	Literal
83	ExprTuple	89, 92
84	Literal
85	ExprTuple	90, 92
86	ExprTuple	92, 91
87	Literal
88	ExprTuple	92, 93
89	Literal
90	Variable
91	Literal
92	Literal
93	Literal