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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, l
from proveit.logic import InSet, NotEquals
from proveit.numbers import zero
from proveit.physics.quantum.QPE import _full_domain
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(l, _full_domain), NotEquals(l, zero))
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 \in \{-2^{t - 1} + 1~\ldotp \ldotp~2^{t - 1}\}, l \neq 0\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
4ExprTuple8, 7
5Literal
6ExprTuple8, 9
7Operationoperator: 10
operands: 11
8Variable
9Literal
10Literal
11ExprTuple12, 16
12Operationoperator: 21
operands: 13
13ExprTuple14, 27
14Operationoperator: 25
operand: 16
15ExprTuple16
16Operationoperator: 17
operands: 18
17Literal
18ExprTuple19, 20
19Literal
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24
23Literal
24Operationoperator: 25
operand: 27
25Literal
26ExprTuple27
27Literal