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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, b, l
from proveit.numbers import Add, Integer, Mult, Sum, one
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [l]
sub_expr2 = Mult(a, b)
sub_expr3 = Add(l, one)
expr = ExprTuple(Sum(index_or_indices = sub_expr1, summand = Mult(sub_expr2, sub_expr3), domain = Integer), Mult(sub_expr2, Sum(index_or_indices = sub_expr1, summand = sub_expr3, domain = Integer)))
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_{l \in \mathbb{Z}}~\left(\left(a \cdot b\right) \cdot \left(l + 1\right)\right), \left(a \cdot b\right) \cdot \left[\sum_{l \in \mathbb{Z}}~\left(l + 1\right)\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: 8
operand: 5
2Operationoperator: 18
operands: 4
3ExprTuple5
4ExprTuple15, 6
5Lambdaparameter: 27
body: 7
6Operationoperator: 8
operand: 11
7Conditionalvalue: 10
condition: 17
8Literal
9ExprTuple11
10Operationoperator: 18
operands: 12
11Lambdaparameter: 27
body: 14
12ExprTuple15, 16
13ExprTuple27
14Conditionalvalue: 16
condition: 17
15Operationoperator: 18
operands: 19
16Operationoperator: 20
operands: 21
17Operationoperator: 22
operands: 23
18Literal
19ExprTuple24, 25
20Literal
21ExprTuple27, 26
22Literal
23ExprTuple27, 28
24Variable
25Variable
26Literal
27Variable
28Literal