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, n
from proveit.logic import SetOfAll
from proveit.physics.quantum import m_bit_interval
from proveit.physics.quantum.circuits import register_meas
from proveit.statistics import SampleSpaces

# build up the expression from sub-expressions
expr = ExprTuple(SetOfAll(instance_param_or_params = [n], instance_element = register_meas, domain = m_bit_interval), SampleSpaces)

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(\left\{\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\multiqin{3}{\lvert \psi \rangle} & \meter & \multiqout{3}{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \meter & \ghostqout{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \measure{\begin{array}{c}:\\ \left(m - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \meter & \ghostqout{\lvert n \rangle_{m}}
} \end{array}\right\}_{n \in \{0~\ldotp \ldotp~2^{m} - 1\}}, \textrm{SampleSpaces}\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: 5
2	Literal
3	Literal
4	ExprTuple	5
5	Lambda	parameter: 61 body: 7
6	ExprTuple	61
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
12	Literal
13	ExprTuple	61, 17
14	ExprTuple	18
15	ExprTuple	19
16	ExprTuple	20
17	Operation	operator: 52 operands: 21
18	ExprRange	lambda_map: 22 start_index: 58 end_index: 62
19	ExprRange	lambda_map: 23 start_index: 58 end_index: 62
20	ExprRange	lambda_map: 24 start_index: 58 end_index: 62
21	ExprTuple	25, 26
22	Lambda	parameter: 57 body: 27
23	Lambda	parameter: 57 body: 28
24	Lambda	parameter: 57 body: 30
25	Literal
26	Operation	operator: 31 operands: 32
27	Operation	operator: 36 operands: 33
28	Operation	operator: 34 operands: 35
29	ExprTuple	57
30	Operation	operator: 36 operands: 37
31	Literal
32	ExprTuple	38, 39
33	NamedExprs	element: 40 targets: 43
34	Literal
35	NamedExprs	basis: 41
36	Literal
37	NamedExprs	element: 42 targets: 43
38	Operation	operator: 44 operands: 45
39	Operation	operator: 46 operand: 58
40	Operation	operator: 48 operands: 49
41	Literal
42	Operation	operator: 50 operands: 51
43	Operation	operator: 52 operands: 53
44	Literal
45	ExprTuple	54, 62
46	Literal
47	ExprTuple	58
48	Literal
49	NamedExprs	state: 55 part: 57
50	Literal
51	NamedExprs	state: 56 part: 57
52	Literal
53	ExprTuple	58, 62
54	Literal
55	Variable
56	Operation	operator: 59 operands: 60
57	Variable
58	Literal
59	Literal
60	ExprTuple	61, 62
61	Variable
62	Variable