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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, one, two
from proveit.physics.quantum.QPE import _t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Neg(one)
expr = ExprTuple(Mult(sub_expr1, l, Exp(two, Mult(sub_expr1, _t))), Neg(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(\left(-1\right) \cdot l \cdot 2^{\left(-1\right) \cdot t}, -\left(l \cdot 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
1Operationoperator: 12
operands: 3
2Operationoperator: 20
operand: 6
3ExprTuple16, 10, 5
4ExprTuple6
5Operationoperator: 14
operands: 7
6Operationoperator: 12
operands: 8
7ExprTuple17, 9
8ExprTuple10, 11
9Operationoperator: 12
operands: 13
10Variable
11Operationoperator: 14
operands: 15
12Literal
13ExprTuple16, 23
14Literal
15ExprTuple17, 18
16Operationoperator: 20
operand: 22
17Literal
18Operationoperator: 20
operand: 23
19ExprTuple22
20Literal
21ExprTuple23
22Literal
23Literal