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 Abs, Exp, Real, Sum, two
from proveit.physics.quantum.QPE import _pos_domain, _rel_indexed_alpha

# build up the expression from sub-expressions
expr = ExprTuple(Sum(index_or_indices = [l], summand = Exp(Abs(_rel_indexed_alpha), 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}} \left|\alpha_{b_{\textit{f}} \oplus l}\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: 36 body: 7
6	ExprTuple	36
7	Conditional	value: 8 condition: 9
8	Operation	operator: 25 operands: 10
9	Operation	operator: 11 operands: 12
10	ExprTuple	13, 29
11	Literal
12	ExprTuple	36, 14
13	Operation	operator: 15 operand: 19
14	Operation	operator: 17 operands: 18
15	Literal
16	ExprTuple	19
17	Literal
18	ExprTuple	20, 21
19	Operation	operator: 22 operand: 27
20	Operation	operator: 33 operands: 24
21	Operation	operator: 25 operands: 26
22	Literal
23	ExprTuple	27
24	ExprTuple	28, 41
25	Literal
26	ExprTuple	29, 30
27	Operation	operator: 31 operands: 32
28	Variable
29	Literal
30	Operation	operator: 33 operands: 34
31	Literal
32	ExprTuple	35, 36
33	Literal
34	ExprTuple	37, 38
35	Literal
36	Variable
37	Literal
38	Operation	operator: 39 operand: 41
39	Literal
40	ExprTuple	41
41	Literal