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
from proveit.numbers import Abs, Exp, Mult, four, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _rel_indexed_alpha

# build up the expression from sub-expressions
expr = ExprTuple(Exp(Abs(_rel_indexed_alpha), two), frac(one, Mult(four, Exp(_diff_l_scaled_delta_floor, 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(\left|\alpha_{b_{\textit{f}} \oplus l}\right|^{2}, \frac{1}{4 \cdot \left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{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: 33 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 37
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 9 operand: 12
7	Literal
8	Operation	operator: 29 operands: 11
9	Literal
10	ExprTuple	12
11	ExprTuple	13, 14
12	Operation	operator: 15 operand: 18
13	Literal
14	Operation	operator: 33 operands: 17
15	Literal
16	ExprTuple	18
17	ExprTuple	19, 37
18	Operation	operator: 20 operands: 21
19	Operation	operator: 22 operands: 23
20	Literal
21	ExprTuple	39, 24
22	Literal
23	ExprTuple	24, 25
24	Variable
25	Operation	operator: 26 operand: 28
26	Literal
27	ExprTuple	28
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Operation	operator: 33 operands: 34
32	Operation	operator: 35 operand: 39
33	Literal
34	ExprTuple	37, 38
35	Literal
36	ExprTuple	39
37	Literal
38	Literal
39	Literal