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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, n, x
from proveit.numbers import Add, Exp, Interval, Sum, frac, one, subtract, zero
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Sum(index_or_indices = [i], summand = Exp(x, i), domain = Interval(zero, n)), frac(subtract(one, Exp(x, Add(n, one))), subtract(one, x)))
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}^{n} x^{i}, \frac{1 - x^{n + 1}}{1 - x}\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: 3
operand: 7
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple7
5Literal
6ExprTuple8, 9
7Lambdaparameter: 24
body: 11
8Operationoperator: 34
operands: 12
9Operationoperator: 34
operands: 13
10ExprTuple24
11Conditionalvalue: 14
condition: 15
12ExprTuple37, 16
13ExprTuple37, 17
14Operationoperator: 29
operands: 18
15Operationoperator: 19
operands: 20
16Operationoperator: 22
operand: 26
17Operationoperator: 22
operand: 32
18ExprTuple32, 24
19Literal
20ExprTuple24, 25
21ExprTuple26
22Literal
23ExprTuple32
24Variable
25Operationoperator: 27
operands: 28
26Operationoperator: 29
operands: 30
27Literal
28ExprTuple31, 36
29Literal
30ExprTuple32, 33
31Literal
32Variable
33Operationoperator: 34
operands: 35
34Literal
35ExprTuple36, 37
36Variable
37Literal