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Expression of type Neg

from the theory of proveit.physics.quantum.QPE

In [1]:
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, frac, one, three, two
from proveit.physics.quantum.QPE import _eps
In [2]:
# build up the expression from sub-expressions
expr = Neg(Mult(_eps, frac(Add(Mult(three, _eps), one), Exp(Add(Mult(two, _eps), one), two))))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
-\left(\epsilon \cdot \frac{\left(3 \cdot \epsilon\right) + 1}{\left(\left(2 \cdot \epsilon\right) + 1\right)^{2}}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
notation_in_addWhen contained in an Add, use 'subtraction' or 'explicit_negation': For example, 'a - b' versus 'a + (-b)'.subtractionsubtraction('with_subtraction_notation', 'without_subtraction_notation')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Operationoperator: 21
operands: 4
4ExprTuple24, 5
5Operationoperator: 6
operands: 7
6Literal
7ExprTuple8, 9
8Operationoperator: 16
operands: 10
9Operationoperator: 11
operands: 12
10ExprTuple13, 20
11Literal
12ExprTuple14, 23
13Operationoperator: 21
operands: 15
14Operationoperator: 16
operands: 17
15ExprTuple18, 24
16Literal
17ExprTuple19, 20
18Literal
19Operationoperator: 21
operands: 22
20Literal
21Literal
22ExprTuple23, 24
23Literal
24Literal