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, m, x
from proveit.logic import Equals, InSet
from proveit.numbers import Add, Exp, Interval, Natural, Sum, frac, one, subtract, zero

# build up the expression from sub-expressions
expr = ExprTuple(InSet(m, Natural), Equals(Sum(index_or_indices = [i], summand = Exp(x, i), domain = Interval(zero, m)), frac(subtract(one, Exp(x, Add(m, 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(m \in \mathbb{N}, \left(\sum_{i = 0}^{m} x^{i}\right) = \frac{1 - x^{m + 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: 25 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	42, 6
4	Literal
5	ExprTuple	7, 8
6	Literal
7	Operation	operator: 9 operand: 13
8	Operation	operator: 11 operands: 12
9	Literal
10	ExprTuple	13
11	Literal
12	ExprTuple	14, 15
13	Lambda	parameter: 30 body: 17
14	Operation	operator: 40 operands: 18
15	Operation	operator: 40 operands: 19
16	ExprTuple	30
17	Conditional	value: 20 condition: 21
18	ExprTuple	43, 22
19	ExprTuple	43, 23
20	Operation	operator: 35 operands: 24
21	Operation	operator: 25 operands: 26
22	Operation	operator: 28 operand: 32
23	Operation	operator: 28 operand: 38
24	ExprTuple	38, 30
25	Literal
26	ExprTuple	30, 31
27	ExprTuple	32
28	Literal
29	ExprTuple	38
30	Variable
31	Operation	operator: 33 operands: 34
32	Operation	operator: 35 operands: 36
33	Literal
34	ExprTuple	37, 42
35	Literal
36	ExprTuple	38, 39
37	Literal
38	Variable
39	Operation	operator: 40 operands: 41
40	Literal
41	ExprTuple	42, 43
42	Variable
43	Literal