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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, l
from proveit.numbers import Abs, Exp, Mult, Neg, four, frac, one, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(two, Neg(_t))
expr = ExprTuple(frac(one, four), sub_expr1, Exp(Abs(subtract(_delta_b_floor, Mult(l, sub_expr1))), Neg(one)))
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}, 2^{-t}, \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right|^{-1}\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, 26, 2
1Operationoperator: 3
operands: 4
2Operationoperator: 27
operands: 5
3Literal
4ExprTuple13, 6
5ExprTuple7, 8
6Literal
7Operationoperator: 9
operand: 12
8Operationoperator: 31
operand: 13
9Literal
10ExprTuple12
11ExprTuple13
12Operationoperator: 14
operands: 15
13Literal
14Literal
15ExprTuple16, 17
16Operationoperator: 18
operand: 21
17Operationoperator: 31
operand: 22
18Literal
19ExprTuple21
20ExprTuple22
21Literal
22Operationoperator: 23
operands: 24
23Literal
24ExprTuple25, 26
25Variable
26Operationoperator: 27
operands: 28
27Literal
28ExprTuple29, 30
29Literal
30Operationoperator: 31
operand: 33
31Literal
32ExprTuple33
33Literal