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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 ExprRange, ExprTuple, Variable, l
from proveit.core_expr_types import Len
from proveit.numbers import Abs, Exp, Mult, Neg, four, one, subtract, three, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t, _two_pow_t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [four, _two_pow_t, Abs(subtract(_delta_b_floor, Mult(l, Exp(two, Neg(_t)))))]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, three)]))
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(|\left(4, 2^{t}, \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right|\right)|, |\left(1, 2, \ldots, 3\right)|\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7, 8
4Literal
5ExprTuple9
6Literal
7Operationoperator: 32
operands: 10
8Operationoperator: 11
operand: 16
9ExprRangelambda_map: 13
start_index: 14
end_index: 15
10ExprTuple34, 38
11Literal
12ExprTuple16
13Lambdaparameter: 20
body: 20
14Literal
15Literal
16Operationoperator: 18
operands: 19
17ExprTuple20
18Literal
19ExprTuple21, 22
20Variable
21Operationoperator: 23
operand: 26
22Operationoperator: 36
operand: 27
23Literal
24ExprTuple26
25ExprTuple27
26Literal
27Operationoperator: 28
operands: 29
28Literal
29ExprTuple30, 31
30Variable
31Operationoperator: 32
operands: 33
32Literal
33ExprTuple34, 35
34Literal
35Operationoperator: 36
operand: 38
36Literal
37ExprTuple38
38Literal