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, e, l
from proveit.numbers import Add, Exp, Interval, Mult, Sum, four, frac, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow__t_minus_one

# build up the expression from sub-expressions
expr = ExprTuple(Mult(frac(one, two), Sum(index_or_indices = [l], summand = frac(one, Exp(l, two)), domain = Interval(Add(e, one), subtract(_two_pow__t_minus_one, one)))), Mult(frac(one, four), frac(one, Exp(e, two))))

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}{2} \cdot \left(\sum_{l = e + 1}^{2^{t - 1} - 1} \frac{1}{l^{2}}\right), \frac{1}{4} \cdot \frac{1}{e^{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 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8, 9
6	Operation	operator: 23 operands: 10
7	Operation	operator: 11 operand: 15
8	Operation	operator: 23 operands: 13
9	Operation	operator: 23 operands: 14
10	ExprTuple	49, 41
11	Literal
12	ExprTuple	15
13	ExprTuple	49, 16
14	ExprTuple	49, 17
15	Lambda	parameter: 32 body: 19
16	Literal
17	Operation	operator: 39 operands: 20
18	ExprTuple	32
19	Conditional	value: 21 condition: 22
20	ExprTuple	37, 41
21	Operation	operator: 23 operands: 24
22	Operation	operator: 25 operands: 26
23	Literal
24	ExprTuple	49, 27
25	Literal
26	ExprTuple	32, 28
27	Operation	operator: 39 operands: 29
28	Operation	operator: 30 operands: 31
29	ExprTuple	32, 41
30	Literal
31	ExprTuple	33, 34
32	Variable
33	Operation	operator: 43 operands: 35
34	Operation	operator: 43 operands: 36
35	ExprTuple	37, 49
36	ExprTuple	38, 46
37	Variable
38	Operation	operator: 39 operands: 40
39	Literal
40	ExprTuple	41, 42
41	Literal
42	Operation	operator: 43 operands: 44
43	Literal
44	ExprTuple	45, 46
45	Literal
46	Operation	operator: 47 operand: 49
47	Literal
48	ExprTuple	49
49	Literal