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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, i
from proveit.numbers import Add, DecimalSequence, Interval, Sum, nine, one, subtract, two, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [i]
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = Add(i, one), domain = Interval(zero, nine)), Sum(index_or_indices = sub_expr1, summand = subtract(i, one), domain = Interval(two, DecimalSequence(one, one))))
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_{i = 0}^{9} \left(i + 1\right), \sum_{i = 2}^{11} \left(i - 1\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: 23
body: 8
7Lambdaparameter: 23
body: 10
8Conditionalvalue: 11
condition: 12
9ExprTuple23
10Conditionalvalue: 13
condition: 14
11Operationoperator: 17
operands: 15
12Operationoperator: 19
operands: 16
13Operationoperator: 17
operands: 18
14Operationoperator: 19
operands: 20
15ExprTuple23, 36
16ExprTuple23, 21
17Literal
18ExprTuple23, 22
19Literal
20ExprTuple23, 24
21Operationoperator: 28
operands: 25
22Operationoperator: 26
operand: 36
23Variable
24Operationoperator: 28
operands: 29
25ExprTuple30, 31
26Literal
27ExprTuple36
28Literal
29ExprTuple32, 33
30Literal
31Literal
32Literal
33Operationoperator: 34
operands: 35
34Literal
35ExprTuple36, 36
36Literal