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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, eight, 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, eight)), Sum(index_or_indices = sub_expr1, summand = sub_expr2, domain = Interval(Add(eight, one), nine)))
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), \sum_{k = 8 + 1}^{9} \left(k - 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: 4
operand: 6
2Operationoperator: 4
operand: 7
3ExprTuple6
4Literal
5ExprTuple7
6Lambdaparameter: 20
body: 8
7Lambdaparameter: 20
body: 10
8Conditionalvalue: 12
condition: 11
9ExprTuple20
10Conditionalvalue: 12
condition: 13
11Operationoperator: 16
operands: 14
12Operationoperator: 31
operands: 15
13Operationoperator: 16
operands: 17
14ExprTuple20, 18
15ExprTuple20, 19
16Literal
17ExprTuple20, 21
18Operationoperator: 25
operands: 22
19Operationoperator: 23
operand: 28
20Variable
21Operationoperator: 25
operands: 26
22ExprTuple27, 33
23Literal
24ExprTuple28
25Literal
26ExprTuple29, 30
27Variable
28Literal
29Operationoperator: 31
operands: 32
30Literal
31Literal
32ExprTuple33, 34
33Literal
34Literal