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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 Exp, Mult, Neg, frac, one, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Mult(frac(one, two), two), pi, subtract(_delta_b_floor, Mult(l, Exp(two, Neg(_t)))), Exp(pi, 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}{2} \cdot 2, \pi, \delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right), \pi^{-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, 11, 2, 3
1Operationoperator: 22
operands: 4
2Operationoperator: 5
operands: 6
3Operationoperator: 26
operands: 7
4ExprTuple8, 28
5Literal
6ExprTuple9, 10
7ExprTuple11, 12
8Operationoperator: 13
operands: 14
9Operationoperator: 15
operand: 19
10Operationoperator: 30
operand: 20
11Literal
12Operationoperator: 30
operand: 21
13Literal
14ExprTuple21, 28
15Literal
16ExprTuple19
17ExprTuple20
18ExprTuple21
19Literal
20Operationoperator: 22
operands: 23
21Literal
22Literal
23ExprTuple24, 25
24Variable
25Operationoperator: 26
operands: 27
26Literal
27ExprTuple28, 29
28Literal
29Operationoperator: 30
operand: 32
30Literal
31ExprTuple32
32Literal