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, Real, Sum, frac, one, subtract, two
from proveit.physics.quantum.QPE import _pos_domain

# build up the expression from sub-expressions
expr = ExprTuple(Sum(index_or_indices = [l], summand = frac(one, Exp(subtract(l, one), two)), domain = _pos_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 = e + 1}^{2^{t - 1}} \frac{1}{\left(l - 1\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: 26 body: 7
6	ExprTuple	26
7	Conditional	value: 8 condition: 9
8	Operation	operator: 10 operands: 11
9	Operation	operator: 12 operands: 13
10	Literal
11	ExprTuple	36, 14
12	Literal
13	ExprTuple	26, 15
14	Operation	operator: 24 operands: 16
15	Operation	operator: 17 operands: 18
16	ExprTuple	19, 28
17	Literal
18	ExprTuple	20, 21
19	Operation	operator: 30 operands: 22
20	Operation	operator: 30 operands: 23
21	Operation	operator: 24 operands: 25
22	ExprTuple	26, 33
23	ExprTuple	27, 36
24	Literal
25	ExprTuple	28, 29
26	Variable
27	Variable
28	Literal
29	Operation	operator: 30 operands: 31
30	Literal
31	ExprTuple	32, 33
32	Literal
33	Operation	operator: 34 operand: 36
34	Literal
35	ExprTuple	36
36	Literal