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, Mult, frac, one, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _rel_indexed_alpha, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Abs(_rel_indexed_alpha), frac(one, Mult(two, Abs(subtract(Mult(_two_pow_t, _delta_b_floor), l)))))

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|, \frac{1}{2 \cdot \left|\left(2^{t} \cdot \delta_{b_{\textit{f}}}\right) - l\right|}\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: 16 operand: 6
2	Operation	operator: 4 operands: 5
3	ExprTuple	6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 9 operand: 12
7	Literal
8	Operation	operator: 23 operands: 11
9	Literal
10	ExprTuple	12
11	ExprTuple	34, 13
12	Operation	operator: 14 operands: 15
13	Operation	operator: 16 operand: 18
14	Literal
15	ExprTuple	36, 29
16	Literal
17	ExprTuple	18
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22
21	Operation	operator: 23 operands: 24
22	Operation	operator: 25 operand: 29
23	Literal
24	ExprTuple	27, 28
25	Literal
26	ExprTuple	29
27	Operation	operator: 30 operands: 31
28	Operation	operator: 32 operand: 36
29	Variable
30	Literal
31	ExprTuple	34, 35
32	Literal
33	ExprTuple	36
34	Literal
35	Literal
36	Literal