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, Lambda, m
from proveit.physics.quantum.QPE import _m_domain, _phase_est_circuit

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(m, _phase_est_circuit), _m_domain)

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(m \mapsto \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), \{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	Lambda	parameter: 91 body: 4
2	Operation	operator: 74 operands: 5
3	ExprTuple	91
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11, 12, 13
8	Literal
9	Operation	operator: 88 operands: 14
10	ExprTuple	15, 16
11	ExprTuple	17, 18
12	ExprTuple	19, 20
13	ExprTuple	21, 22
14	ExprTuple	23, 24
15	ExprRange	lambda_map: 25 start_index: 92 end_index: 93
16	ExprRange	lambda_map: 26 start_index: 92 end_index: 94
17	ExprRange	lambda_map: 27 start_index: 92 end_index: 93
18	ExprRange	lambda_map: 27 start_index: 81 end_index: 82
19	ExprRange	lambda_map: 28 start_index: 92 end_index: 93
20	ExprRange	lambda_map: 29 start_index: 92 end_index: 94
21	ExprRange	lambda_map: 30 start_index: 92 end_index: 93
22	ExprRange	lambda_map: 31 start_index: 92 end_index: 94
23	Operation	operator: 32 operands: 33
24	Operation	operator: 34 operand: 92
25	Lambda	parameter: 80 body: 36
26	Lambda	parameter: 80 body: 37
27	Lambda	parameter: 80 body: 38
28	Lambda	parameter: 80 body: 39
29	Lambda	parameter: 80 body: 40
30	Lambda	parameter: 80 body: 41
31	Lambda	parameter: 80 body: 43
32	Literal
33	ExprTuple	44, 93
34	Literal
35	ExprTuple	92
36	Operation	operator: 66 operands: 45
37	Operation	operator: 52 operands: 46
38	Operation	operator: 52 operands: 47
39	Operation	operator: 48 operands: 49
40	Operation	operator: 67 operands: 50
41	Operation	operator: 52 operands: 51
42	ExprTuple	80
43	Operation	operator: 52 operands: 53
44	Literal
45	NamedExprs	state: 54
46	NamedExprs	element: 55 targets: 63
47	NamedExprs	element: 56 targets: 57
48	Literal
49	NamedExprs	basis: 58
50	NamedExprs	operation: 59
51	NamedExprs	element: 60 targets: 61
52	Literal
53	NamedExprs	element: 62 targets: 63
54	Operation	operator: 64 operand: 76
55	Operation	operator: 66 operands: 73
56	Operation	operator: 67 operands: 68
57	Operation	operator: 74 operands: 69
58	Literal
59	Literal
60	Operation	operator: 72 operands: 70
61	Operation	operator: 74 operands: 71
62	Operation	operator: 72 operands: 73
63	Operation	operator: 74 operands: 75
64	Literal
65	ExprTuple	76
66	Literal
67	Literal
68	NamedExprs	operation: 77 part: 80
69	ExprTuple	92, 82
70	NamedExprs	state: 78 part: 80
71	ExprTuple	92, 93
72	Literal
73	NamedExprs	state: 79 part: 80
74	Literal
75	ExprTuple	81, 82
76	Literal
77	Operation	operator: 83 operands: 84
78	Operation	operator: 85 operands: 86
79	Literal
80	Variable
81	Operation	operator: 88 operands: 87
82	Operation	operator: 88 operands: 89
83	Literal
84	ExprTuple	90, 93
85	Literal
86	ExprTuple	91, 93
87	ExprTuple	93, 92
88	Literal
89	ExprTuple	93, 94
90	Literal
91	Variable
92	Literal
93	Literal
94	Literal