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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 ExprTuple, m
from proveit.logic import InSet
from proveit.physics.quantum.QPE import _m_domain, _success_cond
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(m, _m_domain), _success_cond)
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(m \in \{0~\ldotp \ldotp~2^{t} - 1\}, \left|\frac{m}{2^{t}} - \varphi\right|_{\textup{mod}\thinspace 1} \leq 2^{-n}\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: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple33, 7
5Literal
6ExprTuple8, 9
7Operationoperator: 10
operands: 11
8Operationoperator: 12
operands: 13
9Operationoperator: 36
operands: 14
10Literal
11ExprTuple15, 16
12Literal
13ExprTuple17, 32
14ExprTuple38, 18
15Literal
16Operationoperator: 20
operands: 19
17Operationoperator: 20
operands: 21
18Operationoperator: 30
operand: 26
19ExprTuple34, 23
20Literal
21ExprTuple24, 25
22ExprTuple26
23Operationoperator: 30
operand: 32
24Operationoperator: 28
operands: 29
25Operationoperator: 30
operand: 35
26Literal
27ExprTuple32
28Literal
29ExprTuple33, 34
30Literal
31ExprTuple35
32Literal
33Variable
34Operationoperator: 36
operands: 37
35Literal
36Literal
37ExprTuple38, 39
38Literal
39Literal