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 ExprTuple, i, n, x
from proveit.numbers import Add, Exp, Interval, Sum, frac, one, subtract, zero

# 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:

# 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(\sum_{i = 0}^{n} x^{i}, \frac{1 - x^{n + 1}}{1 - x}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operand: 7
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7
5	Literal
6	ExprTuple	8, 9
7	Lambda	parameter: 24 body: 11
8	Operation	operator: 34 operands: 12
9	Operation	operator: 34 operands: 13
10	ExprTuple	24
11	Conditional	value: 14 condition: 15
12	ExprTuple	37, 16
13	ExprTuple	37, 17
14	Operation	operator: 29 operands: 18
15	Operation	operator: 19 operands: 20
16	Operation	operator: 22 operand: 26
17	Operation	operator: 22 operand: 32
18	ExprTuple	32, 24
19	Literal
20	ExprTuple	24, 25
21	ExprTuple	26
22	Literal
23	ExprTuple	32
24	Variable
25	Operation	operator: 27 operands: 28
26	Operation	operator: 29 operands: 30
27	Literal
28	ExprTuple	31, 36
29	Literal
30	ExprTuple	32, 33
31	Literal
32	Variable
33	Operation	operator: 34 operands: 35
34	Literal
35	ExprTuple	36, 37
36	Variable
37	Literal