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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, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(two, _two_pow_t, Abs(subtract(_delta_b_floor, Mult(l, Exp(two, Neg(_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, 2^{t}, \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\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
0ExprTuple22, 1, 2
1Operationoperator: 20
operands: 3
2Operationoperator: 4
operand: 6
3ExprTuple22, 26
4Literal
5ExprTuple6
6Operationoperator: 7
operands: 8
7Literal
8ExprTuple9, 10
9Operationoperator: 11
operand: 14
10Operationoperator: 24
operand: 15
11Literal
12ExprTuple14
13ExprTuple15
14Literal
15Operationoperator: 16
operands: 17
16Literal
17ExprTuple18, 19
18Variable
19Operationoperator: 20
operands: 21
20Literal
21ExprTuple22, 23
22Literal
23Operationoperator: 24
operand: 26
24Literal
25ExprTuple26
26Literal