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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 Equals, InSet
from proveit.numbers import Add, Integer, frac
from proveit.physics.quantum.QPE import _delta_b, _phase, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = Conditional(Equals(_phase, Add(frac(b, _two_pow_t), _delta_b)), InSet(b, Integer))
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\{\varphi = \left(\frac{b}{2^{t}} + \delta_{b}\right) \textrm{ if } b \in \mathbb{Z}\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
4ExprTuple7, 8
5Literal
6ExprTuple19, 9
7Literal
8Operationoperator: 10
operands: 11
9Literal
10Literal
11ExprTuple12, 13
12Operationoperator: 14
operands: 15
13Operationoperator: 16
operand: 19
14Literal
15ExprTuple19, 18
16Literal
17ExprTuple19
18Operationoperator: 20
operands: 21
19Variable
20Literal
21ExprTuple22, 23
22Literal
23Literal