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Expression of type ExprTuple

from the theory of proveit.numbers.summation

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, a, k
from proveit.numbers import Interval, Sum, eight, seven, subtract, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Sum(index_or_indices = [k], summand = subtract(k, two), domain = Interval(a, eight)), seven)
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(\sum_{k = a}^{8} \left(k - 2\right), 7\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
operand: 5
2Literal
3Literal
4ExprTuple5
5Lambdaparameter: 15
body: 7
6ExprTuple15
7Conditionalvalue: 8
condition: 9
8Operationoperator: 10
operands: 11
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple15, 14
12Literal
13ExprTuple15, 16
14Operationoperator: 17
operand: 21
15Variable
16Operationoperator: 19
operands: 20
17Literal
18ExprTuple21
19Literal
20ExprTuple22, 23
21Literal
22Variable
23Literal