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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 Add, Interval, Sum, nine, one, subtract, two
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [k]
sub_expr2 = subtract(k, two)
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Interval(a, nine)), Add(Sum(index_or_indices = sub_expr1, summand = sub_expr2, 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} \left(k - 2\right), \left(\sum_{k = a}^{9 - 1} \left(k - 2\right)\right) + \left(9 - 2\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: 9
operand: 5
2Operationoperator: 33
operands: 4
3ExprTuple5
4ExprTuple6, 7
5Lambdaparameter: 25
body: 8
6Operationoperator: 9
operand: 13
7Operationoperator: 33
operands: 11
8Conditionalvalue: 18
condition: 12
9Literal
10ExprTuple13
11ExprTuple35, 24
12Operationoperator: 22
operands: 14
13Lambdaparameter: 25
body: 16
14ExprTuple25, 17
15ExprTuple25
16Conditionalvalue: 18
condition: 19
17Operationoperator: 28
operands: 20
18Operationoperator: 33
operands: 21
19Operationoperator: 22
operands: 23
20ExprTuple31, 35
21ExprTuple25, 24
22Literal
23ExprTuple25, 26
24Operationoperator: 37
operand: 30
25Variable
26Operationoperator: 28
operands: 29
27ExprTuple30
28Literal
29ExprTuple31, 32
30Literal
31Variable
32Operationoperator: 33
operands: 34
33Literal
34ExprTuple35, 36
35Literal
36Operationoperator: 37
operand: 39
37Literal
38ExprTuple39
39Literal