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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, Variable
from proveit.numbers import Mult, Neg, frac, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow_t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
expr = ExprTuple(Variable("_a", latex_format = r"{_{-}a}"), subtract(Neg(sub_expr1), Mult(sub_expr1, frac(one, _two_pow_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({_{-}a}, -\frac{1}{2} - \left(\frac{1}{2} \cdot \frac{1}{2^{t}}\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
1Variable
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple5, 6
5Operationoperator: 8
operand: 13
6Operationoperator: 8
operand: 10
7ExprTuple13
8Literal
9ExprTuple10
10Operationoperator: 11
operands: 12
11Literal
12ExprTuple13, 14
13Operationoperator: 16
operands: 15
14Operationoperator: 16
operands: 17
15ExprTuple18, 22
16Literal
17ExprTuple18, 19
18Literal
19Operationoperator: 20
operands: 21
20Literal
21ExprTuple22, 23
22Literal
23Literal