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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, e, i, one, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(one, Neg(Exp(e, Mult(two, pi, i, subtract(Mult(_two_pow_t, _delta_b_floor), l)))))
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(1, -\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\left(2^{t} \cdot \delta_{b_{\textit{f}}}\right) - l\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
0ExprTuple1, 2
1Literal
2Operationoperator: 18
operand: 4
3ExprTuple4
4Operationoperator: 23
operands: 5
5ExprTuple6, 7
6Literal
7Operationoperator: 16
operands: 8
8ExprTuple27, 9, 10, 11
9Literal
10Literal
11Operationoperator: 12
operands: 13
12Literal
13ExprTuple14, 15
14Operationoperator: 16
operands: 17
15Operationoperator: 18
operand: 22
16Literal
17ExprTuple20, 21
18Literal
19ExprTuple22
20Operationoperator: 23
operands: 24
21Operationoperator: 25
operand: 29
22Variable
23Literal
24ExprTuple27, 28
25Literal
26ExprTuple29
27Literal
28Literal
29Literal