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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 Exp, Mult, Neg, four, frac, one, subtract, two
from proveit.physics.quantum.QPE import _n, _t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Neg(frac(one, Mult(four, Exp(subtract(Exp(two, subtract(_t, _n)), 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(-\frac{1}{4 \cdot \left(2^{t - n} - 1\right)^{2}}\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Operationoperator: 26
operand: 3
2ExprTuple3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple21, 6
6Operationoperator: 7
operands: 8
7Literal
8ExprTuple9, 10
9Literal
10Operationoperator: 16
operands: 11
11ExprTuple12, 19
12Operationoperator: 22
operands: 13
13ExprTuple14, 15
14Operationoperator: 16
operands: 17
15Operationoperator: 26
operand: 21
16Literal
17ExprTuple19, 20
18ExprTuple21
19Literal
20Operationoperator: 22
operands: 23
21Literal
22Literal
23ExprTuple24, 25
24Literal
25Operationoperator: 26
operand: 28
26Literal
27ExprTuple28
28Literal