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, l
from proveit.numbers import Exp, Sum, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _neg_domain, _pos_domain

# build up the expression from sub-expressions
sub_expr1 = [l]
sub_expr2 = frac(one, Exp(_diff_l_scaled_delta_floor, two))
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = _neg_domain), Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = _pos_domain))

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(\sum_{l = -2^{t - 1} + 1}^{-\left(e + 1\right)} \frac{1}{\left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}}, \sum_{l = e + 1}^{2^{t - 1}} \frac{1}{\left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}}\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	Lambda	parameter: 34 body: 8
7	Lambda	parameter: 34 body: 10
8	Conditional	value: 12 condition: 11
9	ExprTuple	34
10	Conditional	value: 12 condition: 13
11	Operation	operator: 17 operands: 14
12	Operation	operator: 15 operands: 16
13	Operation	operator: 17 operands: 18
14	ExprTuple	34, 19
15	Literal
16	ExprTuple	60, 20
17	Literal
18	ExprTuple	34, 21
19	Operation	operator: 24 operands: 22
20	Operation	operator: 50 operands: 23
21	Operation	operator: 24 operands: 25
22	ExprTuple	26, 27
23	ExprTuple	28, 55
24	Literal
25	ExprTuple	33, 39
26	Operation	operator: 48 operands: 29
27	Operation	operator: 58 operand: 33
28	Operation	operator: 48 operands: 31
29	ExprTuple	32, 60
30	ExprTuple	33
31	ExprTuple	34, 35
32	Operation	operator: 58 operand: 39
33	Operation	operator: 48 operands: 37
34	Variable
35	Operation	operator: 58 operand: 41
36	ExprTuple	39
37	ExprTuple	40, 60
38	ExprTuple	41
39	Operation	operator: 50 operands: 42
40	Variable
41	Operation	operator: 43 operands: 44
42	ExprTuple	55, 45
43	Literal
44	ExprTuple	46, 47
45	Operation	operator: 48 operands: 49
46	Operation	operator: 50 operands: 51
47	Operation	operator: 52 operand: 57
48	Literal
49	ExprTuple	56, 54
50	Literal
51	ExprTuple	55, 56
52	Literal
53	ExprTuple	57
54	Operation	operator: 58 operand: 60
55	Literal
56	Literal
57	Literal
58	Literal
59	ExprTuple	60
60	Literal