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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, l
from proveit.logic import InSet
from proveit.numbers import Exp, frac, one, two
from proveit.physics.quantum.QPE import _neg_domain
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(frac(one, Exp(l, two)), InSet(l, _neg_domain))))
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(l \mapsto \left\{\frac{1}{l^{2}} \textrm{ if } l \in \{-2^{t - 1} + 1~\ldotp \ldotp~-\left(e + 1\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: 15
body: 3
2ExprTuple15
3Conditionalvalue: 4
condition: 5
4Operationoperator: 6
operands: 7
5Operationoperator: 8
operands: 9
6Literal
7ExprTuple36, 10
8Literal
9ExprTuple15, 11
10Operationoperator: 26
operands: 12
11Operationoperator: 13
operands: 14
12ExprTuple15, 28
13Literal
14ExprTuple16, 17
15Variable
16Operationoperator: 30
operands: 18
17Operationoperator: 34
operand: 21
18ExprTuple20, 36
19ExprTuple21
20Operationoperator: 34
operand: 24
21Operationoperator: 30
operands: 23
22ExprTuple24
23ExprTuple25, 36
24Operationoperator: 26
operands: 27
25Variable
26Literal
27ExprTuple28, 29
28Literal
29Operationoperator: 30
operands: 31
30Literal
31ExprTuple32, 33
32Literal
33Operationoperator: 34
operand: 36
34Literal
35ExprTuple36
36Literal