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, _pos_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 = _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(\frac{1}{4}, \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: 12 operands: 3
2	Operation	operator: 4 operand: 7
3	ExprTuple	42, 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	42, 16
14	Literal
15	ExprTuple	27, 17
16	Operation	operator: 43 operands: 18
17	Operation	operator: 19 operands: 20
18	ExprTuple	21, 47
19	Literal
20	ExprTuple	22, 23
21	Operation	operator: 32 operands: 24
22	Operation	operator: 32 operands: 25
23	Operation	operator: 43 operands: 26
24	ExprTuple	27, 28
25	ExprTuple	29, 42
26	ExprTuple	47, 30
27	Variable
28	Operation	operator: 38 operand: 34
29	Variable
30	Operation	operator: 32 operands: 33
31	ExprTuple	34
32	Literal
33	ExprTuple	48, 35
34	Operation	operator: 36 operands: 37
35	Operation	operator: 38 operand: 42
36	Literal
37	ExprTuple	40, 41
38	Literal
39	ExprTuple	42
40	Operation	operator: 43 operands: 44
41	Operation	operator: 45 operand: 49
42	Literal
43	Literal
44	ExprTuple	47, 48
45	Literal
46	ExprTuple	49
47	Literal
48	Literal
49	Literal