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, m, x
from proveit.numbers import Exp, Interval, Sum, frac, infinity, one, subtract, zero

# build up the expression from sub-expressions
expr = ExprTuple(Sum(index_or_indices = [m], summand = Exp(x, m), domain = Interval(zero, infinity)), frac(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_{m = 0}^{\infty} x^{m}, \frac{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	15, 8
7	Lambda	parameter: 23 body: 10
8	Operation	operator: 11 operands: 12
9	ExprTuple	23
10	Conditional	value: 13 condition: 14
11	Literal
12	ExprTuple	15, 16
13	Operation	operator: 17 operands: 18
14	Operation	operator: 19 operands: 20
15	Literal
16	Operation	operator: 21 operand: 25
17	Literal
18	ExprTuple	25, 23
19	Literal
20	ExprTuple	23, 24
21	Literal
22	ExprTuple	25
23	Variable
24	Operation	operator: 26 operands: 27
25	Variable
26	Literal
27	ExprTuple	28, 29
28	Literal
29	Literal