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

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

-\frac{1}{4 \cdot \left(1 + \frac{1}{2 \cdot \epsilon}\right)^{2}}

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: 15 operands: 4
4	ExprTuple	17, 5
5	Operation	operator: 19 operands: 6
6	ExprTuple	7, 8
7	Literal
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 21
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	17, 14
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17, 18
17	Literal
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22
21	Literal
22	Literal