Expression of type Conditional

from the theory of proveit.numbers.division

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, Py, S, y, z
from proveit.logic import And, Equals, InSet, NotEquals
from proveit.numbers import Complex, Sum, frac, zero

# build up the expression from sub-expressions
sub_expr1 = [y]
expr = Conditional(Equals(frac(Sum(index_or_indices = sub_expr1, summand = Py, domain = S), z), Sum(index_or_indices = sub_expr1, summand = frac(Py, z), domain = S)), And(InSet(z, Complex), NotEquals(z, zero)))

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\{\frac{\sum_{y \in S}~P\left(y\right)}{z} = \left[\sum_{y \in S}~\frac{P\left(y\right)}{z}\right] \textrm{ if } z \in \mathbb{C} ,  z \neq 0\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

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