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Expression of type ExprTuple

from the theory of proveit.numbers.functions

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, ConditionalSet, ExprTuple, i, j
from proveit.logic import Equals, NotEquals
from proveit.numbers import KroneckerDelta, one, zero
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(KroneckerDelta(i, j), ConditionalSet(Conditional(one, Equals(i, j)), Conditional(zero, NotEquals(i, j))))
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(\delta_{i, j}, \left\{\begin{array}{ccc}1 \textrm{ if } i = j \\ 0 \textrm{ if } i \neq j\end{array}\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: 3
operands: 14
2Operationoperator: 4
operands: 5
3Literal
4Literal
5ExprTuple6, 7
6Conditionalvalue: 8
condition: 9
7Conditionalvalue: 10
condition: 11
8Literal
9Operationoperator: 12
operands: 14
10Literal
11Operationoperator: 13
operands: 14
12Literal
13Literal
14ExprTuple15, 16
15Variable
16Variable