Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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 ExprRange, ExprTuple, Variable, t
from proveit.linear_algebra import TensorProd
from proveit.numbers import Add, Interval, Neg, one, zero
from proveit.physics.quantum.QPE import _ket_u, _psi_t_ket, _s
from proveit.physics.quantum.circuits import MultiQubitElem, Output

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = TensorProd(_psi_t_ket, _ket_u)
sub_expr3 = Interval(one, Add(t, _s))
expr = ExprTuple([ExprRange(sub_expr1, MultiQubitElem(element = Output(state = sub_expr2, part = Add(sub_expr1, t)), targets = sub_expr3), Add(Neg(t), one), zero)], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = sub_expr2, part = sub_expr1), targets = sub_expr3), one, t)])

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(\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~\left(-t + 1\right) + t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~\left(-t + 2\right) + t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~0 + t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}\right), \left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert \psi_{t} \rangle {\otimes} \lvert u \rangle~\mbox{part}~t~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} 
} \end{array}\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	ExprTuple	3
2	ExprTuple	4
3	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
4	ExprRange	lambda_map: 8 start_index: 28 end_index: 41
5	Lambda	parameter: 35 body: 9
6	Operation	operator: 33 operands: 10
7	Literal
8	Lambda	parameter: 35 body: 12
9	Operation	operator: 15 operands: 13
10	ExprTuple	14, 28
11	ExprTuple	35
12	Operation	operator: 15 operands: 16
13	NamedExprs	element: 17 targets: 20
14	Operation	operator: 18 operand: 41
15	Literal
16	NamedExprs	element: 19 targets: 20
17	Operation	operator: 22 operands: 21
18	Literal
19	Operation	operator: 22 operands: 23
20	Operation	operator: 24 operands: 25
21	NamedExprs	state: 27 part: 26
22	Literal
23	NamedExprs	state: 27 part: 35
24	Literal
25	ExprTuple	28, 29
26	Operation	operator: 33 operands: 30
27	Operation	operator: 31 operands: 32
28	Literal
29	Operation	operator: 33 operands: 34
30	ExprTuple	35, 41
31	Literal
32	ExprTuple	36, 37
33	Literal
34	ExprTuple	41, 38
35	Variable
36	Operation	operator: 39 operand: 41
37	Literal
38	Literal
39	Literal
40	ExprTuple	41
41	Variable