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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
from proveit.numbers import Exp, Mult, Neg, four, frac, one, subtract, two
from proveit.physics.quantum.QPE import _n, _t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = subtract(Exp(two, subtract(_t, _n)), one)
expr = ExprTuple(one, Neg(frac(one, Mult(two, sub_expr1))), Neg(frac(one, Mult(four, Exp(sub_expr1, 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(1, -\frac{1}{2 \cdot \left(2^{t - n} - 1\right)}, -\frac{1}{4 \cdot \left(2^{t - n} - 1\right)^{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
0ExprTuple27, 1, 2
1Operationoperator: 32
operand: 5
2Operationoperator: 32
operand: 6
3ExprTuple5
4ExprTuple6
5Operationoperator: 8
operands: 7
6Operationoperator: 8
operands: 9
7ExprTuple27, 10
8Literal
9ExprTuple27, 11
10Operationoperator: 13
operands: 12
11Operationoperator: 13
operands: 14
12ExprTuple25, 18
13Literal
14ExprTuple15, 16
15Literal
16Operationoperator: 22
operands: 17
17ExprTuple18, 25
18Operationoperator: 28
operands: 19
19ExprTuple20, 21
20Operationoperator: 22
operands: 23
21Operationoperator: 32
operand: 27
22Literal
23ExprTuple25, 26
24ExprTuple27
25Literal
26Operationoperator: 28
operands: 29
27Literal
28Literal
29ExprTuple30, 31
30Literal
31Operationoperator: 32
operand: 34
32Literal
33ExprTuple34
34Literal