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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, e, l
from proveit.numbers import Add, Exp, Interval, Mult, Sum, frac, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow__t_minus_one
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Mult(two, Sum(index_or_indices = [l], summand = frac(one, Exp(l, two)), domain = Interval(Add(e, one), subtract(_two_pow__t_minus_one, one)))), frac(one, Exp(e, 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(2 \cdot \left(\sum_{l = e + 1}^{2^{t - 1} - 1} \frac{1}{l^{2}}\right), \frac{1}{e^{2}}\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, 2
1Operationoperator: 3
operands: 4
2Operationoperator: 16
operands: 5
3Literal
4ExprTuple34, 6
5ExprTuple42, 7
6Operationoperator: 8
operand: 11
7Operationoperator: 32
operands: 10
8Literal
9ExprTuple11
10ExprTuple30, 34
11Lambdaparameter: 25
body: 13
12ExprTuple25
13Conditionalvalue: 14
condition: 15
14Operationoperator: 16
operands: 17
15Operationoperator: 18
operands: 19
16Literal
17ExprTuple42, 20
18Literal
19ExprTuple25, 21
20Operationoperator: 32
operands: 22
21Operationoperator: 23
operands: 24
22ExprTuple25, 34
23Literal
24ExprTuple26, 27
25Variable
26Operationoperator: 36
operands: 28
27Operationoperator: 36
operands: 29
28ExprTuple30, 42
29ExprTuple31, 39
30Variable
31Operationoperator: 32
operands: 33
32Literal
33ExprTuple34, 35
34Literal
35Operationoperator: 36
operands: 37
36Literal
37ExprTuple38, 39
38Literal
39Operationoperator: 40
operand: 42
40Literal
41ExprTuple42
42Literal