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, m, x
from proveit.logic import And, Equals, InSet
from proveit.numbers import Abs, Complex, Exp, Interval, Less, Sum, frac, infinity, one, subtract, zero

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Equals(Sum(index_or_indices = [m], summand = Exp(x, m), domain = Interval(zero, infinity)), frac(one, subtract(one, x))), And(InSet(x, Complex), Less(Abs(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(x \mapsto \left\{\left(\sum_{m = 0}^{\infty} x^{m}\right) = \frac{1}{1 - x} \textrm{ if } x \in \mathbb{C} ,  \left|x\right| < 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	parameter: 41 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12
9	Operation	operator: 13 operand: 20
10	Operation	operator: 15 operands: 16
11	Operation	operator: 35 operands: 17
12	Operation	operator: 18 operands: 19
13	Literal
14	ExprTuple	20
15	Literal
16	ExprTuple	31, 21
17	ExprTuple	41, 22
18	Literal
19	ExprTuple	23, 31
20	Lambda	parameter: 39 body: 25
21	Operation	operator: 26 operands: 27
22	Literal
23	Operation	operator: 28 operand: 41
24	ExprTuple	39
25	Conditional	value: 29 condition: 30
26	Literal
27	ExprTuple	31, 32
28	Literal
29	Operation	operator: 33 operands: 34
30	Operation	operator: 35 operands: 36
31	Literal
32	Operation	operator: 37 operand: 41
33	Literal
34	ExprTuple	41, 39
35	Literal
36	ExprTuple	39, 40
37	Literal
38	ExprTuple	41
39	Variable
40	Operation	operator: 42 operands: 43
41	Variable
42	Literal
43	ExprTuple	44, 45
44	Literal
45	Literal