Expression of type Lambda

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 Conditional, Lambda, n
from proveit.logic import InSet
from proveit.physics.quantum import m_bit_interval
from proveit.physics.quantum.circuits import register_meas

# build up the expression from sub-expressions
expr = Lambda(n, Conditional(register_meas, InSet(n, 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())

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} \textrm{ if } n \in \{0~\ldotp \ldotp~2^{m} - 1\}\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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