Expression of type SetOfAll

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 SetOfAll
from proveit.physics.quantum import m_bit_interval
from proveit.physics.quantum.circuits import register_meas

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

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\}}

stored_expr.style_options()

name	description	default	current value	related methods
with_wrapping	If 'True', wrap the Expression after the parameters	None	None/False	('with_wrapping',)
condition_wrapping	Wrap 'before' or 'after' the condition (or None).	None	None/False	('with_wrap_after_condition', 'with_wrap_before_condition')
wrap_params	If 'True', wraps every two parameters AND wraps the Expression after the parameters	None	None/False	('with_params',)
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

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