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, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = Abs(subtract(_delta_b_floor, frac(l, _two_pow_t)))
expr = ExprTuple(frac(Mult(two, pi, sub_expr1), two), frac(Mult(two, Mult(pi, sub_expr1)), 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{2 \cdot \pi \cdot \left|\delta_{b_{\textit{f}}} - \frac{l}{2^{t}}\right|}{2}, \frac{2 \cdot \left(\pi \cdot \left|\delta_{b_{\textit{f}}} - \frac{l}{2^{t}}\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: 27 operands: 3
2	Operation	operator: 27 operands: 4
3	ExprTuple	5, 33
4	ExprTuple	6, 33
5	Operation	operator: 10 operands: 7
6	Operation	operator: 10 operands: 8
7	ExprTuple	33, 12, 13
8	ExprTuple	33, 9
9	Operation	operator: 10 operands: 11
10	Literal
11	ExprTuple	12, 13
12	Literal
13	Operation	operator: 14 operand: 16
14	Literal
15	ExprTuple	16
16	Operation	operator: 17 operands: 18
17	Literal
18	ExprTuple	19, 20
19	Operation	operator: 21 operand: 25
20	Operation	operator: 23 operand: 26
21	Literal
22	ExprTuple	25
23	Literal
24	ExprTuple	26
25	Literal
26	Operation	operator: 27 operands: 28
27	Literal
28	ExprTuple	29, 30
29	Variable
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Literal
34	Literal