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.logic import Bijections
from proveit.physics.quantum.QPE import _Omega, _m_domain, _phase_est_circuit

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

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), \left[\{0~\ldotp \ldotp~2^{t} - 1\} \xrightarrow[\text{onto}]{\text{1-to-1}} \Omega\right]\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: 95 body: 4
2	Operation	operator: 5 operands: 6
3	ExprTuple	95
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12, 13, 14
9	Operation	operator: 78 operands: 15
10	Literal
11	ExprTuple	16, 17
12	ExprTuple	18, 19
13	ExprTuple	20, 21
14	ExprTuple	22, 23
15	ExprTuple	24, 25
16	ExprRange	lambda_map: 26 start_index: 96 end_index: 97
17	ExprRange	lambda_map: 27 start_index: 96 end_index: 98
18	ExprRange	lambda_map: 28 start_index: 96 end_index: 97
19	ExprRange	lambda_map: 28 start_index: 85 end_index: 86
20	ExprRange	lambda_map: 29 start_index: 96 end_index: 97
21	ExprRange	lambda_map: 30 start_index: 96 end_index: 98
22	ExprRange	lambda_map: 31 start_index: 96 end_index: 97
23	ExprRange	lambda_map: 32 start_index: 96 end_index: 98
24	Literal
25	Operation	operator: 92 operands: 33
26	Lambda	parameter: 84 body: 34
27	Lambda	parameter: 84 body: 35
28	Lambda	parameter: 84 body: 36
29	Lambda	parameter: 84 body: 37
30	Lambda	parameter: 84 body: 38
31	Lambda	parameter: 84 body: 39
32	Lambda	parameter: 84 body: 41
33	ExprTuple	42, 43
34	Operation	operator: 70 operands: 44
35	Operation	operator: 51 operands: 45
36	Operation	operator: 51 operands: 46
37	Operation	operator: 47 operands: 48
38	Operation	operator: 71 operands: 49
39	Operation	operator: 51 operands: 50
40	ExprTuple	84
41	Operation	operator: 51 operands: 52
42	Operation	operator: 53 operands: 54
43	Operation	operator: 55 operand: 96
44	NamedExprs	state: 57
45	NamedExprs	element: 58 targets: 66
46	NamedExprs	element: 59 targets: 60
47	Literal
48	NamedExprs	basis: 61
49	NamedExprs	operation: 62
50	NamedExprs	element: 63 targets: 64
51	Literal
52	NamedExprs	element: 65 targets: 66
53	Literal
54	ExprTuple	67, 97
55	Literal
56	ExprTuple	96
57	Operation	operator: 68 operand: 80
58	Operation	operator: 70 operands: 77
59	Operation	operator: 71 operands: 72
60	Operation	operator: 78 operands: 73
61	Literal
62	Literal
63	Operation	operator: 76 operands: 74
64	Operation	operator: 78 operands: 75
65	Operation	operator: 76 operands: 77
66	Operation	operator: 78 operands: 79
67	Literal
68	Literal
69	ExprTuple	80
70	Literal
71	Literal
72	NamedExprs	operation: 81 part: 84
73	ExprTuple	96, 86
74	NamedExprs	state: 82 part: 84
75	ExprTuple	96, 97
76	Literal
77	NamedExprs	state: 83 part: 84
78	Literal
79	ExprTuple	85, 86
80	Literal
81	Operation	operator: 87 operands: 88
82	Operation	operator: 89 operands: 90
83	Literal
84	Variable
85	Operation	operator: 92 operands: 91
86	Operation	operator: 92 operands: 93
87	Literal
88	ExprTuple	94, 97
89	Literal
90	ExprTuple	95, 97
91	ExprTuple	97, 96
92	Literal
93	ExprTuple	97, 98
94	Literal
95	Variable
96	Literal
97	Literal
98	Literal