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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 _diff_l_scaled_delta_floor, _neg_domain
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(frac(one, Exp(_diff_l_scaled_delta_floor, 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}{\left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{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: 21
body: 3
2ExprTuple21
3Conditionalvalue: 4
condition: 5
4Operationoperator: 6
operands: 7
5Operationoperator: 8
operands: 9
6Literal
7ExprTuple49, 10
8Literal
9ExprTuple21, 11
10Operationoperator: 37
operands: 12
11Operationoperator: 13
operands: 14
12ExprTuple15, 43
13Literal
14ExprTuple16, 17
15Operationoperator: 41
operands: 18
16Operationoperator: 41
operands: 19
17Operationoperator: 47
operand: 24
18ExprTuple21, 22
19ExprTuple23, 49
20ExprTuple24
21Variable
22Operationoperator: 47
operand: 28
23Operationoperator: 47
operand: 29
24Operationoperator: 41
operands: 27
25ExprTuple28
26ExprTuple29
27ExprTuple30, 49
28Operationoperator: 31
operands: 32
29Operationoperator: 37
operands: 33
30Variable
31Literal
32ExprTuple34, 35
33ExprTuple43, 36
34Operationoperator: 37
operands: 38
35Operationoperator: 39
operand: 44
36Operationoperator: 41
operands: 42
37Literal
38ExprTuple43, 45
39Literal
40ExprTuple44
41Literal
42ExprTuple45, 46
43Literal
44Literal
45Literal
46Operationoperator: 47
operand: 49
47Literal
48ExprTuple49
49Literal