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
from proveit.logic import Equals
from proveit.numbers import one
from proveit.physics.quantum.circuits import circuit_Ui_Vj, circuit_Ui_psi_m, circuit_psi_m_Vj
from proveit.statistics import Prob

# build up the expression from sub-expressions
expr = ExprTuple(Equals(Prob(circuit_Ui_psi_m), one), Equals(Prob(circuit_Ui_Vj), Prob(circuit_psi_m_Vj)).with_wrapping_at(2))

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(\textrm{Pr}\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \gate{\begin{array}{c} \uparrow \\U_{1} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\\cdots \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\U_{i} \\ \downarrow\end{array}} & \qout{\lvert \psi \rangle}
} \end{array}\right) = 1, \begin{array}{c} \begin{array}{l} \textrm{Pr}\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \gate{\begin{array}{c} \uparrow \\U_{1} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\U_{2} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\\cdots \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\U_{i} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\V_{1} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\V_{2} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\\cdots \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\V_{j} \\ \downarrow\end{array}} & \qw
} \end{array}\right) =  \\ \textrm{Pr}\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi \rangle} & \gate{\begin{array}{c} \uparrow \\V_{1} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\\cdots \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\V_{j} \\ \downarrow\end{array}} & { /^{m} } \qw
} \end{array}\right) \end{array} \end{array}\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	Operation	operator: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 52
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 11 operand: 13
7	Operation	operator: 11 operand: 14
8	Operation	operator: 11 operand: 15
9	ExprTuple	13
10	ExprTuple	14
11	Literal
12	ExprTuple	15
13	Operation	operator: 18 operands: 16
14	Operation	operator: 18 operands: 17
15	Operation	operator: 18 operands: 19
16	ExprTuple	21, 20
17	ExprTuple	21, 23
18	Literal
19	ExprTuple	22, 23
20	ExprTuple	24
21	ExprRange	lambda_map: 25 start_index: 52 end_index: 26
22	ExprTuple	27
23	ExprRange	lambda_map: 28 start_index: 52 end_index: 29
24	ExprRange	lambda_map: 30 start_index: 52 end_index: 53
25	Lambda	parameter: 51 body: 31
26	Variable
27	ExprRange	lambda_map: 32 start_index: 52 end_index: 53
28	Lambda	parameter: 51 body: 33
29	Variable
30	Lambda	parameter: 51 body: 34
31	IndexedVar	variable: 35 index: 51
32	Lambda	parameter: 51 body: 36
33	IndexedVar	variable: 37 index: 51
34	Operation	operator: 40 operands: 39
35	Variable
36	Operation	operator: 40 operands: 41
37	Variable
38	ExprTuple	51
39	NamedExprs	element: 42 targets: 44
40	Literal
41	NamedExprs	element: 43 targets: 44
42	Operation	operator: 45 operands: 47
43	Operation	operator: 46 operands: 47
44	Operation	operator: 48 operands: 49
45	Literal
46	Literal
47	NamedExprs	state: 50 part: 51
48	Literal
49	ExprTuple	52, 53
50	Variable
51	Variable
52	Literal
53	Variable