logo

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, e, l
from proveit.logic import InSet
from proveit.physics.quantum.QPE import _e_domain, _neg_domain
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(InSet(l, _neg_domain), InSet(e, _e_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 \in \{-2^{t - 1} + 1~\ldotp \ldotp~-\left(e + 1\right)\}, e \in \{1~\ldotp \ldotp~2^{t - 1} - 2\}\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
4Literal
5ExprTuple25, 8
6Variable
7Operationoperator: 10
operands: 9
8Operationoperator: 10
operands: 11
9ExprTuple12, 13
10Literal
11ExprTuple36, 14
12Operationoperator: 30
operands: 15
13Operationoperator: 34
operand: 19
14Operationoperator: 30
operands: 17
15ExprTuple18, 36
16ExprTuple19
17ExprTuple24, 20
18Operationoperator: 34
operand: 24
19Operationoperator: 30
operands: 22
20Operationoperator: 34
operand: 28
21ExprTuple24
22ExprTuple25, 36
23ExprTuple28
24Operationoperator: 26
operands: 27
25Variable
26Literal
27ExprTuple28, 29
28Literal
29Operationoperator: 30
operands: 31
30Literal
31ExprTuple32, 33
32Literal
33Operationoperator: 34
operand: 36
34Literal
35ExprTuple36
36Literal