Theorem qubit_meas_sample_space of type Forall

from the theory of proveit.physics.quantum.circuits

see dependencies

import proveit
# Automation is not needed when only building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_theorem_expr # Load the stored theorem expression as 'stored_expr'
# import the special expression
from proveit.physics.quantum.circuits import qubit_meas_sample_space

# check that the built expression is the same as the stored expression
assert qubit_meas_sample_space.expr == stored_expr
assert qubit_meas_sample_space.expr._style_id == stored_expr._style_id
print("Passed sanity check: qubit_meas_sample_space matches stored_expr")

Passed sanity check: qubit_meas_sample_space matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\forall_{\lvert \psi \rangle \in \mathbb{C}^{2}~|~\left \|\lvert \psi \rangle\right \| = 1}~\left(\left\{\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi \rangle} & \meter & \qout{\lvert b \rangle}
} \end{array}\right\}_{b \in \left\{0, 1\right\}} \underset{{\scriptscriptstyle c}}{\in} \textrm{SampleSpaces}\right)

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: 53 body: 4
4	Conditional	value: 5 condition: 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operands: 10
7	Literal
8	ExprTuple	11, 12
9	Literal
10	ExprTuple	13, 14
11	Operation	operator: 15 operand: 20
12	Literal
13	Operation	operator: 34 operands: 17
14	Operation	operator: 18 operands: 19
15	Literal
16	ExprTuple	20
17	ExprTuple	53, 21
18	Literal
19	ExprTuple	22, 52
20	Lambda	parameter: 58 body: 23
21	Operation	operator: 24 operands: 25
22	Operation	operator: 26 operand: 53
23	Conditional	value: 28 condition: 29
24	Literal
25	ExprTuple	30, 31
26	Literal
27	ExprTuple	53
28	Operation	operator: 32 operands: 33
29	Operation	operator: 34 operands: 35
30	Literal
31	Literal
32	Literal
33	ExprTuple	36, 37, 38
34	Literal
35	ExprTuple	58, 39
36	ExprTuple	40
37	ExprTuple	41
38	ExprTuple	42
39	Operation	operator: 43 operands: 44
40	Operation	operator: 45 operands: 46
41	Operation	operator: 47 operands: 48
42	Operation	operator: 49 operands: 50
43	Literal
44	ExprTuple	51, 52
45	Literal
46	NamedExprs	state: 53
47	Literal
48	NamedExprs	basis: 54
49	Literal
50	NamedExprs	state: 55
51	Literal
52	Literal
53	Variable
54	Literal
55	Operation	operator: 56 operand: 58
56	Literal
57	ExprTuple	58
58	Variable