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, Log, Mult, 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, frac(one, Mult(two, _eps)))))
expr = ExprTuple(subtract(Add(_n, sub_expr1), _n), sub_expr1)

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