Expression of type ExprTuple

from the theory of proveit.physics.quantum.circuits

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.numbers import one
from proveit.physics.quantum.circuits import phase_kickback_circuit
from proveit.statistics import Prob

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

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} & \control{} \qw \qwx[1] & \qout{\frac{1}{\sqrt{2}} \cdot \left(\lvert 0 \rangle + \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi} \cdot \lvert 1 \rangle\right)\right)} \\
\qin{\lvert u \rangle} & \gate{U} & \qout{\lvert u \rangle}
} \end{array}\right), 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, 83
1	Operation	operator: 2 operand: 4
2	Literal
3	ExprTuple	4
4	Operation	operator: 5 operands: 6
5	Literal
6	ExprTuple	7, 8, 9
7	ExprTuple	10, 11
8	ExprTuple	12, 13
9	ExprTuple	14, 15
10	Operation	operator: 47 operands: 16
11	ExprRange	lambda_map: 17 start_index: 83 end_index: 22
12	Operation	operator: 38 operands: 18
13	ExprRange	lambda_map: 19 start_index: 83 end_index: 22
14	Operation	operator: 53 operands: 20
15	ExprRange	lambda_map: 21 start_index: 83 end_index: 22
16	NamedExprs	state: 23
17	Lambda	parameter: 62 body: 24
18	NamedExprs	element: 25 targets: 26
19	Lambda	parameter: 62 body: 27
20	NamedExprs	state: 28
21	Lambda	parameter: 62 body: 30
22	Operation	operator: 68 operands: 31
23	Operation	operator: 79 operand: 40
24	Operation	operator: 38 operands: 33
25	Literal
26	Operation	operator: 34 operand: 86
27	Operation	operator: 38 operands: 36
28	Operation	operator: 66 operands: 37
29	ExprTuple	62
30	Operation	operator: 38 operands: 39
31	ExprTuple	74, 83
32	ExprTuple	40
33	NamedExprs	element: 41 targets: 46
34	Literal
35	ExprTuple	86
36	NamedExprs	element: 42 targets: 46
37	ExprTuple	43, 44
38	Literal
39	NamedExprs	element: 45 targets: 46
40	Literal
41	Operation	operator: 47 operands: 54
42	Operation	operator: 48 operands: 49
43	Operation	operator: 75 operands: 50
44	Operation	operator: 51 operands: 52
45	Operation	operator: 53 operands: 54
46	Operation	operator: 55 operands: 56
47	Literal
48	Literal
49	NamedExprs	operation: 57 part: 62
50	ExprTuple	83, 58
51	Literal
52	ExprTuple	59, 60
53	Literal
54	NamedExprs	state: 61 part: 62
55	Literal
56	ExprTuple	86, 63
57	Variable
58	Operation	operator: 77 operands: 64
59	Operation	operator: 79 operand: 71
60	Operation	operator: 66 operands: 67
61	Variable
62	Variable
63	Operation	operator: 68 operands: 69
64	ExprTuple	86, 70
65	ExprTuple	71
66	Literal
67	ExprTuple	72, 73
68	Literal
69	ExprTuple	74, 86
70	Operation	operator: 75 operands: 76
71	Literal
72	Operation	operator: 77 operands: 78
73	Operation	operator: 79 operand: 83
74	Variable
75	Literal
76	ExprTuple	83, 86
77	Literal
78	ExprTuple	81, 82
79	Literal
80	ExprTuple	83
81	Literal
82	Operation	operator: 84 operands: 85
83	Literal
84	Literal
85	ExprTuple	86, 87, 88, 89
86	Literal
87	Literal
88	Literal
89	Variable