Expression of type InSet

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

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

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 = e + 1}^{2^{t - 1}} \frac{1}{\left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}}\right) \in \mathbb{C}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 13 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 4 operand: 6
3	Literal
4	Literal
5	ExprTuple	6
6	Lambda	parameter: 26 body: 8
7	ExprTuple	26
8	Conditional	value: 9 condition: 10
9	Operation	operator: 11 operands: 12
10	Operation	operator: 13 operands: 14
11	Literal
12	ExprTuple	41, 15
13	Literal
14	ExprTuple	26, 16
15	Operation	operator: 42 operands: 17
16	Operation	operator: 18 operands: 19
17	ExprTuple	20, 46
18	Literal
19	ExprTuple	21, 22
20	Operation	operator: 31 operands: 23
21	Operation	operator: 31 operands: 24
22	Operation	operator: 42 operands: 25
23	ExprTuple	26, 27
24	ExprTuple	28, 41
25	ExprTuple	46, 29
26	Variable
27	Operation	operator: 37 operand: 33
28	Variable
29	Operation	operator: 31 operands: 32
30	ExprTuple	33
31	Literal
32	ExprTuple	47, 34
33	Operation	operator: 35 operands: 36
34	Operation	operator: 37 operand: 41
35	Literal
36	ExprTuple	39, 40
37	Literal
38	ExprTuple	41
39	Operation	operator: 42 operands: 43
40	Operation	operator: 44 operand: 48
41	Literal
42	Literal
43	ExprTuple	46, 47
44	Literal
45	ExprTuple	48
46	Literal
47	Literal
48	Literal