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.numbers import one
from proveit.physics.quantum.circuits import circuit_Ui_psi_m
from proveit.statistics import Prob

# build up the expression from sub-expressions
expr = ExprTuple(Prob(circuit_Ui_psi_m), one)

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\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, 27
1	Operation	operator: 2 operand: 4
2	Literal
3	ExprTuple	4
4	Operation	operator: 5 operands: 6
5	Literal
6	ExprTuple	7, 8
7	ExprRange	lambda_map: 9 start_index: 27 end_index: 10
8	ExprTuple	11
9	Lambda	parameter: 26 body: 12
10	Variable
11	ExprRange	lambda_map: 13 start_index: 27 end_index: 28
12	IndexedVar	variable: 14 index: 26
13	Lambda	parameter: 26 body: 16
14	Variable
15	ExprTuple	26
16	Operation	operator: 17 operands: 18
17	Literal
18	NamedExprs	element: 19 targets: 20
19	Operation	operator: 21 operands: 22
20	Operation	operator: 23 operands: 24
21	Literal
22	NamedExprs	state: 25 part: 26
23	Literal
24	ExprTuple	27, 28
25	Variable
26	Variable
27	Literal
28	Variable