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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 import l
from proveit.numbers import Mult, Neg, frac, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = Neg(Mult(two, pi, subtract(_delta_b_floor, frac(l, _two_pow_t))))
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(2 \cdot \pi \cdot \left(\delta_{b_{\textit{f}}} - \frac{l}{2^{t}}\right)\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: 13
operand: 2
1ExprTuple2
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple23, 5, 6
5Literal
6Operationoperator: 7
operands: 8
7Literal
8ExprTuple9, 10
9Operationoperator: 11
operand: 15
10Operationoperator: 13
operand: 16
11Literal
12ExprTuple15
13Literal
14ExprTuple16
15Literal
16Operationoperator: 17
operands: 18
17Literal
18ExprTuple19, 20
19Variable
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24
23Literal
24Literal