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Expression of type Conditional

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 Conditional, e, l
from proveit.logic import InSet
from proveit.numbers import Add, Exp, Interval, frac, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow__t_minus_one
In [2]:
# build up the expression from sub-expressions
expr = Conditional(frac(one, Exp(l, two)), InSet(l, Interval(Add(e, one), subtract(_two_pow__t_minus_one, one))))
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\{\frac{1}{l^{2}} \textrm{ if } l \in \{e + 1~\ldotp \ldotp~2^{t - 1} - 1\}\right..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple29, 7
5Literal
6ExprTuple12, 8
7Operationoperator: 19
operands: 9
8Operationoperator: 10
operands: 11
9ExprTuple12, 21
10Literal
11ExprTuple13, 14
12Variable
13Operationoperator: 23
operands: 15
14Operationoperator: 23
operands: 16
15ExprTuple17, 29
16ExprTuple18, 26
17Variable
18Operationoperator: 19
operands: 20
19Literal
20ExprTuple21, 22
21Literal
22Operationoperator: 23
operands: 24
23Literal
24ExprTuple25, 26
25Literal
26Operationoperator: 27
operand: 29
27Literal
28ExprTuple29
29Literal