Expression of type Add

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

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

n + \left\lceil \textrm{log}_2\left(2 + \left(\frac{1}{2} \cdot \epsilon^{-1}\right)\right)\right\rceil - n

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 12 operands: 1
1	ExprTuple	8, 2, 3
2	Operation	operator: 4 operand: 7
3	Operation	operator: 26 operand: 8
4	Literal
5	ExprTuple	7
6	ExprTuple	8
7	Operation	operator: 9 operands: 10
8	Literal
9	Literal
10	ExprTuple	23, 11
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	23, 14
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17, 18
17	Operation	operator: 19 operands: 20
18	Operation	operator: 21 operands: 22
19	Literal
20	ExprTuple	28, 23
21	Literal
22	ExprTuple	24, 25
23	Literal
24	Literal
25	Operation	operator: 26 operand: 28
26	Literal
27	ExprTuple	28
28	Literal