Expression of type Neg

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, Exp, Neg, frac, one, two
from proveit.physics.quantum.QPE import _eps

# build up the expression from sub-expressions
sub_expr1 = Add(two, frac(one, _eps))
sub_expr2 = Exp(sub_expr1, two)
expr = Neg(Add(frac(sub_expr1, sub_expr2), frac(one, sub_expr2)))

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 + \frac{1}{\epsilon}}{\left(2 + \frac{1}{\epsilon}\right)^{2}} + \frac{1}{\left(2 + \frac{1}{\epsilon}\right)^{2}}\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
notation_in_add	When contained in an Add, use 'subtraction' or 'explicit_negation': For example, 'a - b' versus 'a + (-b)'.	subtraction	subtraction	('with_subtraction_notation', 'without_subtraction_notation')

# display the expression information
stored_expr.expr_info()

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