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 Exp, Mult, Neg, four, frac, one, subtract, two
from proveit.physics.quantum.QPE import Pfail, _e_value

# build up the expression from sub-expressions
expr = ExprTuple(subtract(Neg(frac(one, Mult(two, _e_value))), frac(one, Mult(four, Exp(_e_value, two)))), Neg(Pfail(_e_value)))

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(-\frac{1}{2 \cdot \left(2^{t - n} - 1\right)} - \frac{1}{4 \cdot \left(2^{t - n} - 1\right)^{2}}, -\left[P_{\rm fail}\right]\left(2^{t - n} - 1\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: 35 operands: 3
2	Operation	operator: 39 operand: 7
3	ExprTuple	5, 6
4	ExprTuple	7
5	Operation	operator: 39 operand: 12
6	Operation	operator: 39 operand: 13
7	Operation	operator: 10 operand: 25
8	ExprTuple	12
9	ExprTuple	13
10	Literal
11	ExprTuple	25
12	Operation	operator: 15 operands: 14
13	Operation	operator: 15 operands: 16
14	ExprTuple	34, 17
15	Literal
16	ExprTuple	34, 18
17	Operation	operator: 20 operands: 19
18	Operation	operator: 20 operands: 21
19	ExprTuple	32, 25
20	Literal
21	ExprTuple	22, 23
22	Literal
23	Operation	operator: 29 operands: 24
24	ExprTuple	25, 32
25	Operation	operator: 35 operands: 26
26	ExprTuple	27, 28
27	Operation	operator: 29 operands: 30
28	Operation	operator: 39 operand: 34
29	Literal
30	ExprTuple	32, 33
31	ExprTuple	34
32	Literal
33	Operation	operator: 35 operands: 36
34	Literal
35	Literal
36	ExprTuple	37, 38
37	Literal
38	Operation	operator: 39 operand: 41
39	Literal
40	ExprTuple	41
41	Literal