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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, subtract, two
from proveit.physics.quantum.QPE import _pos_domain
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(frac(one, Exp(subtract(l, one), two)), InSet(l, _pos_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}{\left(l - 1\right)^{2}} \textrm{ if } l \in \{e + 1~\ldotp \ldotp~2^{t - 1}\}\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: 22
body: 3
2ExprTuple22
3Conditionalvalue: 4
condition: 5
4Operationoperator: 6
operands: 7
5Operationoperator: 8
operands: 9
6Literal
7ExprTuple32, 10
8Literal
9ExprTuple22, 11
10Operationoperator: 20
operands: 12
11Operationoperator: 13
operands: 14
12ExprTuple15, 24
13Literal
14ExprTuple16, 17
15Operationoperator: 26
operands: 18
16Operationoperator: 26
operands: 19
17Operationoperator: 20
operands: 21
18ExprTuple22, 29
19ExprTuple23, 32
20Literal
21ExprTuple24, 25
22Variable
23Variable
24Literal
25Operationoperator: 26
operands: 27
26Literal
27ExprTuple28, 29
28Literal
29Operationoperator: 30
operand: 32
30Literal
31ExprTuple32
32Literal