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, four, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _neg_domain

# build up the expression from sub-expressions
expr = ExprTuple(frac(one, four), Sum(index_or_indices = [l], summand = frac(one, Exp(_diff_l_scaled_delta_floor, two)), domain = _neg_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(\frac{1}{4}, \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}}\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: 12 operands: 3
2	Operation	operator: 4 operand: 7
3	ExprTuple	55, 6
4	Literal
5	ExprTuple	7
6	Literal
7	Lambda	parameter: 27 body: 9
8	ExprTuple	27
9	Conditional	value: 10 condition: 11
10	Operation	operator: 12 operands: 13
11	Operation	operator: 14 operands: 15
12	Literal
13	ExprTuple	55, 16
14	Literal
15	ExprTuple	27, 17
16	Operation	operator: 43 operands: 18
17	Operation	operator: 19 operands: 20
18	ExprTuple	21, 49
19	Literal
20	ExprTuple	22, 23
21	Operation	operator: 47 operands: 24
22	Operation	operator: 47 operands: 25
23	Operation	operator: 53 operand: 30
24	ExprTuple	27, 28
25	ExprTuple	29, 55
26	ExprTuple	30
27	Variable
28	Operation	operator: 53 operand: 34
29	Operation	operator: 53 operand: 35
30	Operation	operator: 47 operands: 33
31	ExprTuple	34
32	ExprTuple	35
33	ExprTuple	36, 55
34	Operation	operator: 37 operands: 38
35	Operation	operator: 43 operands: 39
36	Variable
37	Literal
38	ExprTuple	40, 41
39	ExprTuple	49, 42
40	Operation	operator: 43 operands: 44
41	Operation	operator: 45 operand: 50
42	Operation	operator: 47 operands: 48
43	Literal
44	ExprTuple	49, 51
45	Literal
46	ExprTuple	50
47	Literal
48	ExprTuple	51, 52
49	Literal
50	Literal
51	Literal
52	Operation	operator: 53 operand: 55
53	Literal
54	ExprTuple	55
55	Literal