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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 Conditional, ExprTuple, Lambda, b
from proveit.logic import Equals, InSet, NotInSet, Or, Set
from proveit.numbers import Integer, Mult, zero
from proveit.physics.quantum.QPE import _b_floor, _b_round, _delta_b, _two_pow_t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Mult(_two_pow_t, _delta_b)
expr = ExprTuple(Lambda(b, Conditional(Or(Equals(sub_expr1, zero), NotInSet(sub_expr1, Integer)), 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(b \mapsto \left\{\left(\left(2^{t} \cdot \delta_{b}\right) = 0\right) \lor \left(\left(2^{t} \cdot \delta_{b}\right) \notin \mathbb{Z}\right) \textrm{ if } b \in \left\{b_{\textit{f}}, b_{\textit{r}}\right\}\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameter: 33
body: 2
2Conditionalvalue: 3
condition: 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6ExprTuple9, 10
7Literal
8ExprTuple33, 11
9Operationoperator: 12
operands: 13
10Operationoperator: 14
operands: 15
11Operationoperator: 16
operands: 17
12Literal
13ExprTuple19, 18
14Literal
15ExprTuple19, 20
16Literal
17ExprTuple21, 22
18Literal
19Operationoperator: 23
operands: 24
20Literal
21Literal
22Literal
23Literal
24ExprTuple25, 26
25Operationoperator: 27
operands: 28
26Operationoperator: 29
operand: 33
27Literal
28ExprTuple31, 32
29Literal
30ExprTuple33
31Literal
32Literal
33Variable