Expression of type InClass

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 n
from proveit.logic import InClass, 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 = InClass(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\{\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\}} \underset{{\scriptscriptstyle c}}{\in} \textrm{SampleSpaces}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4
3	Operation	operator: 5 operand: 7
4	Literal
5	Literal
6	ExprTuple	7
7	Lambda	parameter: 63 body: 9
8	ExprTuple	63
9	Conditional	value: 10 condition: 11
10	Operation	operator: 12 operands: 13
11	Operation	operator: 14 operands: 15
12	Literal
13	ExprTuple	16, 17, 18
14	Literal
15	ExprTuple	63, 19
16	ExprTuple	20
17	ExprTuple	21
18	ExprTuple	22
19	Operation	operator: 54 operands: 23
20	ExprRange	lambda_map: 24 start_index: 60 end_index: 64
21	ExprRange	lambda_map: 25 start_index: 60 end_index: 64
22	ExprRange	lambda_map: 26 start_index: 60 end_index: 64
23	ExprTuple	27, 28
24	Lambda	parameter: 59 body: 29
25	Lambda	parameter: 59 body: 30
26	Lambda	parameter: 59 body: 32
27	Literal
28	Operation	operator: 33 operands: 34
29	Operation	operator: 38 operands: 35
30	Operation	operator: 36 operands: 37
31	ExprTuple	59
32	Operation	operator: 38 operands: 39
33	Literal
34	ExprTuple	40, 41
35	NamedExprs	element: 42 targets: 45
36	Literal
37	NamedExprs	basis: 43
38	Literal
39	NamedExprs	element: 44 targets: 45
40	Operation	operator: 46 operands: 47
41	Operation	operator: 48 operand: 60
42	Operation	operator: 50 operands: 51
43	Literal
44	Operation	operator: 52 operands: 53
45	Operation	operator: 54 operands: 55
46	Literal
47	ExprTuple	56, 64
48	Literal
49	ExprTuple	60
50	Literal
51	NamedExprs	state: 57 part: 59
52	Literal
53	NamedExprs	state: 58 part: 59
54	Literal
55	ExprTuple	60, 64
56	Literal
57	Variable
58	Operation	operator: 61 operands: 62
59	Variable
60	Literal
61	Literal
62	ExprTuple	63, 64
63	Variable
64	Variable