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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, b
from proveit.logic import InSet, Set
from proveit.numbers import IntervalOC, Neg, frac, one, two
from proveit.physics.quantum.QPE import _b_floor, _b_round, _delta_b
In [2]:
# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
expr = Conditional(InSet(_delta_b, IntervalOC(Neg(sub_expr1), sub_expr1)), InSet(b, Set(_b_floor, _b_round)))
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\{\delta_{b} \in \left(-\frac{1}{2},\frac{1}{2}\right] \textrm{ if } b \in \left\{b_{\textit{f}}, b_{\textit{r}}\right\}\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple15, 8
6Operationoperator: 9
operand: 15
7Operationoperator: 11
operands: 12
8Operationoperator: 13
operands: 14
9Literal
10ExprTuple15
11Literal
12ExprTuple16, 21
13Literal
14ExprTuple17, 18
15Variable
16Operationoperator: 19
operand: 21
17Literal
18Literal
19Literal
20ExprTuple21
21Operationoperator: 22
operands: 23
22Literal
23ExprTuple24, 25
24Literal
25Literal