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Expression of type ExprTuple

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 ExprTuple
from proveit.numbers import Add, Exp, Mult, Neg, frac, one, subtract, two
from proveit.physics.quantum.QPE import _t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
sub_expr2 = Mult(sub_expr1, Exp(two, Neg(_t)))
expr = ExprTuple(Add(sub_expr1, subtract(Neg(sub_expr1), sub_expr2)), Neg(sub_expr2))
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(\frac{1}{2} + \left(-\frac{1}{2} - \left(\frac{1}{2} \cdot 2^{-t}\right)\right), -\left(\frac{1}{2} \cdot 2^{-t}\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 7
1Operationoperator: 4
operands: 2
2ExprTuple13, 3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7
6Operationoperator: 22
operand: 13
7Operationoperator: 22
operand: 10
8ExprTuple13
9ExprTuple10
10Operationoperator: 11
operands: 12
11Literal
12ExprTuple13, 14
13Operationoperator: 15
operands: 16
14Operationoperator: 17
operands: 18
15Literal
16ExprTuple19, 20
17Literal
18ExprTuple20, 21
19Literal
20Literal
21Operationoperator: 22
operand: 24
22Literal
23ExprTuple24
24Literal