Expression of type ExprTuple

from the theory of proveit.numbers.summation

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 Conditional, ExprTuple, Lambda, i, n, x
from proveit.logic import And, Equals, InSet, NotEquals
from proveit.numbers import Add, Complex, Exp, Interval, Natural, Sum, frac, one, subtract, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, n], Conditional(Equals(Sum(index_or_indices = [i], summand = Exp(x, i), domain = Interval(zero, n)), frac(subtract(one, Exp(x, Add(n, one))), subtract(one, x))), And(InSet(x, Complex), InSet(n, Natural), NotEquals(x, one)))))

expr:

# 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

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\left(x, n\right) \mapsto \left\{\left(\sum_{i = 0}^{n} x^{i}\right) = \frac{1 - x^{n + 1}}{1 - x} \textrm{ if } x \in \mathbb{C} ,  n \in \mathbb{N} ,  x \neq 1\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameters: 2 body: 3
2	ExprTuple	50, 54
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	12, 13, 14
10	Operation	operator: 15 operand: 23
11	Operation	operator: 17 operands: 18
12	Operation	operator: 37 operands: 19
13	Operation	operator: 37 operands: 20
14	Operation	operator: 21 operands: 22
15	Literal
16	ExprTuple	23
17	Literal
18	ExprTuple	24, 25
19	ExprTuple	50, 26
20	ExprTuple	54, 27
21	Literal
22	ExprTuple	50, 55
23	Lambda	parameter: 42 body: 29
24	Operation	operator: 52 operands: 30
25	Operation	operator: 52 operands: 31
26	Literal
27	Literal
28	ExprTuple	42
29	Conditional	value: 32 condition: 33
30	ExprTuple	55, 34
31	ExprTuple	55, 35
32	Operation	operator: 47 operands: 36
33	Operation	operator: 37 operands: 38
34	Operation	operator: 40 operand: 44
35	Operation	operator: 40 operand: 50
36	ExprTuple	50, 42
37	Literal
38	ExprTuple	42, 43
39	ExprTuple	44
40	Literal
41	ExprTuple	50
42	Variable
43	Operation	operator: 45 operands: 46
44	Operation	operator: 47 operands: 48
45	Literal
46	ExprTuple	49, 54
47	Literal
48	ExprTuple	50, 51
49	Literal
50	Variable
51	Operation	operator: 52 operands: 53
52	Literal
53	ExprTuple	54, 55
54	Variable
55	Literal