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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, nine, one, 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, subtract(nine, one))), subtract(nine, two))
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}^{9 - 1} \left(k - 2\right), 9 - 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: 3
operand: 6
2Operationoperator: 23
operands: 5
3Literal
4ExprTuple6
5ExprTuple25, 14
6Lambdaparameter: 15
body: 8
7ExprTuple15
8Conditionalvalue: 9
condition: 10
9Operationoperator: 23
operands: 11
10Operationoperator: 12
operands: 13
11ExprTuple15, 14
12Literal
13ExprTuple15, 16
14Operationoperator: 27
operand: 20
15Variable
16Operationoperator: 18
operands: 19
17ExprTuple20
18Literal
19ExprTuple21, 22
20Literal
21Variable
22Operationoperator: 23
operands: 24
23Literal
24ExprTuple25, 26
25Literal
26Operationoperator: 27
operand: 29
27Literal
28ExprTuple29
29Literal