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 Add, Ceil, Exp, Log, Mult, Neg, frac, one, subtract, two
from proveit.physics.quantum.QPE import _eps, _n

# build up the expression from sub-expressions
sub_expr1 = Ceil(Log(two, Add(two, Mult(frac(one, two), Exp(_eps, Neg(one))))))
expr = ExprTuple(subtract(Add(_n, sub_expr1), _n), Add(_n, sub_expr1, Neg(_n)))

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(n + \left\lceil \textrm{log}_2\left(2 + \left(\frac{1}{2} \cdot \epsilon^{-1}\right)\right)\right\rceil\right) - n, n + \left\lceil \textrm{log}_2\left(2 + \left(\frac{1}{2} \cdot \epsilon^{-1}\right)\right)\right\rceil - n\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: 17 operands: 3
2	Operation	operator: 17 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	10, 9, 6
5	Operation	operator: 17 operands: 7
6	Operation	operator: 31 operand: 10
7	ExprTuple	10, 9
8	ExprTuple	10
9	Operation	operator: 11 operand: 13
10	Literal
11	Literal
12	ExprTuple	13
13	Operation	operator: 14 operands: 15
14	Literal
15	ExprTuple	28, 16
16	Operation	operator: 17 operands: 18
17	Literal
18	ExprTuple	28, 19
19	Operation	operator: 20 operands: 21
20	Literal
21	ExprTuple	22, 23
22	Operation	operator: 24 operands: 25
23	Operation	operator: 26 operands: 27
24	Literal
25	ExprTuple	33, 28
26	Literal
27	ExprTuple	29, 30
28	Literal
29	Literal
30	Operation	operator: 31 operand: 33
31	Literal
32	ExprTuple	33
33	Literal