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, VertExprArray
from proveit.linear_algebra import TensorProd
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum.QPE import _Psi_ket, _ket_u, _s, _t
from proveit.physics.quantum.circuits import MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(_t, one)
sub_expr3 = Add(_t, _s)
sub_expr4 = MultiQubitElem(element = Output(state = TensorProd(_Psi_ket, _ket_u), part = sub_expr1), targets = Interval(one, sub_expr3))
expr = ExprTuple(Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _Psi_ket, part = sub_expr1), targets = Interval(one, _t)), one, _t), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _ket_u, part = sub_expr1), targets = Interval(sub_expr2, sub_expr3)), one, _s)])), Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, sub_expr4, one, _t).with_wrapping_at(2,6), ExprRange(sub_expr1, sub_expr4, sub_expr2, sub_expr3).with_wrapping_at(2,6)])))

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(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qout{\lvert \Psi \rangle} \\
& \qout{\lvert u \rangle}
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \multiqout{1}{\lvert \Psi \rangle {\otimes} \lvert u \rangle} \\
& \ghostqout{\lvert \Psi \rangle {\otimes} \lvert u \rangle}
} \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 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	ExprTuple	8, 9
7	ExprTuple	10, 11
8	ExprRange	lambda_map: 12 start_index: 46 end_index: 49
9	ExprRange	lambda_map: 13 start_index: 46 end_index: 50
10	ExprRange	lambda_map: 14 start_index: 46 end_index: 49
11	ExprRange	lambda_map: 14 start_index: 37 end_index: 40
12	Lambda	parameter: 39 body: 15
13	Lambda	parameter: 39 body: 16
14	Lambda	parameter: 39 body: 18
15	Operation	operator: 21 operands: 19
16	Operation	operator: 21 operands: 20
17	ExprTuple	39
18	Operation	operator: 21 operands: 22
19	NamedExprs	element: 23 targets: 24
20	NamedExprs	element: 25 targets: 26
21	Literal
22	NamedExprs	element: 27 targets: 28
23	Operation	operator: 33 operands: 29
24	Operation	operator: 35 operands: 30
25	Operation	operator: 33 operands: 31
26	Operation	operator: 35 operands: 32
27	Operation	operator: 33 operands: 34
28	Operation	operator: 35 operands: 36
29	NamedExprs	state: 47 part: 39
30	ExprTuple	46, 49
31	NamedExprs	state: 48 part: 39
32	ExprTuple	37, 40
33	Literal
34	NamedExprs	state: 38 part: 39
35	Literal
36	ExprTuple	46, 40
37	Operation	operator: 44 operands: 41
38	Operation	operator: 42 operands: 43
39	Variable
40	Operation	operator: 44 operands: 45
41	ExprTuple	49, 46
42	Literal
43	ExprTuple	47, 48
44	Literal
45	ExprTuple	49, 50
46	Literal
47	Literal
48	Literal
49	Literal
50	Literal