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, Lambda, n
from proveit.logic import Bijections, 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 = ExprTuple(Lambda(n, register_meas), Bijections(m_bit_interval, 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(n \mapsto \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), \left[\{0~\ldotp \ldotp~2^{m} - 1\} \xrightarrow[\text{onto}]{\text{1-to-1}} \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\}}\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: 64 body: 11
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	20, 5
5	Operation	operator: 6 operand: 8
6	Literal
7	ExprTuple	8
8	Lambda	parameter: 64 body: 10
9	ExprTuple	64
10	Conditional	value: 11 condition: 12
11	Operation	operator: 13 operands: 14
12	Operation	operator: 15 operands: 16
13	Literal
14	ExprTuple	17, 18, 19
15	Literal
16	ExprTuple	64, 20
17	ExprTuple	21
18	ExprTuple	22
19	ExprTuple	23
20	Operation	operator: 55 operands: 24
21	ExprRange	lambda_map: 25 start_index: 61 end_index: 65
22	ExprRange	lambda_map: 26 start_index: 61 end_index: 65
23	ExprRange	lambda_map: 27 start_index: 61 end_index: 65
24	ExprTuple	28, 29
25	Lambda	parameter: 60 body: 30
26	Lambda	parameter: 60 body: 31
27	Lambda	parameter: 60 body: 33
28	Literal
29	Operation	operator: 34 operands: 35
30	Operation	operator: 39 operands: 36
31	Operation	operator: 37 operands: 38
32	ExprTuple	60
33	Operation	operator: 39 operands: 40
34	Literal
35	ExprTuple	41, 42
36	NamedExprs	element: 43 targets: 46
37	Literal
38	NamedExprs	basis: 44
39	Literal
40	NamedExprs	element: 45 targets: 46
41	Operation	operator: 47 operands: 48
42	Operation	operator: 49 operand: 61
43	Operation	operator: 51 operands: 52
44	Literal
45	Operation	operator: 53 operands: 54
46	Operation	operator: 55 operands: 56
47	Literal
48	ExprTuple	57, 65
49	Literal
50	ExprTuple	61
51	Literal
52	NamedExprs	state: 58 part: 60
53	Literal
54	NamedExprs	state: 59 part: 60
55	Literal
56	ExprTuple	61, 65
57	Literal
58	Variable
59	Operation	operator: 62 operands: 63
60	Variable
61	Literal
62	Literal
63	ExprTuple	64, 65
64	Variable
65	Variable