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 ExprTuple
from proveit.numbers import Add, Exp, Mult, Neg, frac, one, subtract, two
from proveit.physics.quantum.QPE import _t, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
sub_expr2 = Mult(sub_expr1, frac(one, _two_pow_t))
sub_expr3 = subtract(Neg(sub_expr1), sub_expr2)
expr = ExprTuple(Add(sub_expr2, sub_expr3), Add(Mult(sub_expr1, Exp(two, Neg(_t))), sub_expr3))

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(\frac{1}{2} \cdot \frac{1}{2^{t}}\right) + \left(-\frac{1}{2} - \left(\frac{1}{2} \cdot \frac{1}{2^{t}}\right)\right), \left(\frac{1}{2} \cdot 2^{-t}\right) + \left(-\frac{1}{2} - \left(\frac{1}{2} \cdot \frac{1}{2^{t}}\right)\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	Operation	operator: 8 operands: 3
2	Operation	operator: 8 operands: 4
3	ExprTuple	17, 6
4	ExprTuple	5, 6
5	Operation	operator: 20 operands: 7
6	Operation	operator: 8 operands: 9
7	ExprTuple	22, 10
8	Literal
9	ExprTuple	11, 12
10	Operation	operator: 29 operands: 13
11	Operation	operator: 18 operand: 22
12	Operation	operator: 18 operand: 17
13	ExprTuple	31, 16
14	ExprTuple	22
15	ExprTuple	17
16	Operation	operator: 18 operand: 32
17	Operation	operator: 20 operands: 21
18	Literal
19	ExprTuple	32
20	Literal
21	ExprTuple	22, 23
22	Operation	operator: 25 operands: 24
23	Operation	operator: 25 operands: 26
24	ExprTuple	27, 31
25	Literal
26	ExprTuple	27, 28
27	Literal
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Literal
32	Literal