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, Mult, Real, 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(Sum(index_or_indices = [l], summand = frac(one, Mult(four, Exp(_diff_l_scaled_delta_floor, two))), domain = _neg_domain), Real)

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}{4 \cdot \left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}}, \mathbb{R}\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: 3 operand: 5
2	Literal
3	Literal
4	ExprTuple	5
5	Lambda	parameter: 32 body: 7
6	ExprTuple	32
7	Conditional	value: 8 condition: 9
8	Operation	operator: 10 operands: 11
9	Operation	operator: 12 operands: 13
10	Literal
11	ExprTuple	56, 14
12	Literal
13	ExprTuple	32, 15
14	Operation	operator: 40 operands: 16
15	Operation	operator: 17 operands: 18
16	ExprTuple	19, 20
17	Literal
18	ExprTuple	21, 22
19	Literal
20	Operation	operator: 47 operands: 23
21	Operation	operator: 42 operands: 24
22	Operation	operator: 51 operand: 28
23	ExprTuple	26, 53
24	ExprTuple	27, 56
25	ExprTuple	28
26	Operation	operator: 42 operands: 29
27	Operation	operator: 51 operand: 34
28	Operation	operator: 42 operands: 31
29	ExprTuple	32, 33
30	ExprTuple	34
31	ExprTuple	35, 56
32	Variable
33	Operation	operator: 51 operand: 38
34	Operation	operator: 47 operands: 37
35	Variable
36	ExprTuple	38
37	ExprTuple	53, 39
38	Operation	operator: 40 operands: 41
39	Operation	operator: 42 operands: 43
40	Literal
41	ExprTuple	44, 45
42	Literal
43	ExprTuple	54, 46
44	Operation	operator: 47 operands: 48
45	Operation	operator: 49 operand: 55
46	Operation	operator: 51 operand: 56
47	Literal
48	ExprTuple	53, 54
49	Literal
50	ExprTuple	55
51	Literal
52	ExprTuple	56
53	Literal
54	Literal
55	Literal
56	Literal