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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, e
from proveit.numbers import Add, Exp, Mult, four, frac, one, two
from proveit.physics.quantum.QPE import Pfail
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Pfail(e), Add(frac(one, Mult(two, e)), frac(one, Mult(four, Exp(e, 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(\left[P_{\rm fail}\right]\left(e\right), \frac{1}{2 \cdot e} + \frac{1}{4 \cdot e^{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
0ExprTuple1, 2
1Operationoperator: 3
operand: 22
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple22
5Literal
6ExprTuple7, 8
7Operationoperator: 10
operands: 9
8Operationoperator: 10
operands: 11
9ExprTuple13, 12
10Literal
11ExprTuple13, 14
12Operationoperator: 16
operands: 15
13Literal
14Operationoperator: 16
operands: 17
15ExprTuple23, 22
16Literal
17ExprTuple18, 19
18Literal
19Operationoperator: 20
operands: 21
20Literal
21ExprTuple22, 23
22Variable
23Literal