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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 ExprRange, ExprTuple, IndexedVar, Variable, a, c, l
from proveit.numbers import Add, Integer, Sum, one, zero
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(IndexedVar(a, one), Sum(index_or_indices = [l], summand = Add(l, one), domain = Integer), ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, zero))
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(a_{1}, \sum_{l \in \mathbb{Z}}~\left(l + 1\right),c_{1}, c_{2}, \ldots, c_{0}\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, 3
1IndexedVarvariable: 4
index: 23
2Operationoperator: 6
operand: 10
3ExprRangelambda_map: 8
start_index: 23
end_index: 9
4Variable
5ExprTuple23
6Literal
7ExprTuple10
8Lambdaparameter: 18
body: 11
9Literal
10Lambdaparameter: 24
body: 13
11IndexedVarvariable: 14
index: 18
12ExprTuple24
13Conditionalvalue: 16
condition: 17
14Variable
15ExprTuple18
16Operationoperator: 19
operands: 20
17Operationoperator: 21
operands: 22
18Variable
19Literal
20ExprTuple24, 23
21Literal
22ExprTuple24, 25
23Literal
24Variable
25Literal