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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, eps, n, t
from proveit.numbers import Add, Ceil, Log, Mult, frac, one, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Add(n, Ceil(Log(two, Add(two, frac(one, Mult(two, eps)))))), 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(n + \left\lceil \textrm{log}_2\left(2 + \frac{1}{2 \cdot \epsilon}\right)\right\rceil, t\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
2Variable
3ExprTuple4, 5
4Variable
5Operationoperator: 6
operand: 8
6Literal
7ExprTuple8
8Operationoperator: 9
operands: 10
9Literal
10ExprTuple21, 11
11Operationoperator: 12
operands: 13
12Literal
13ExprTuple21, 14
14Operationoperator: 15
operands: 16
15Literal
16ExprTuple17, 18
17Literal
18Operationoperator: 19
operands: 20
19Literal
20ExprTuple21, 22
21Literal
22Variable