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

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

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