Expression of type ExprTuple

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, ExprTuple, Lambda, 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 = ExprTuple(Lambda(z, 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(z \mapsto \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..\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: 33 body: 3
2	ExprTuple	33
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	12, 13
10	Operation	operator: 29 operands: 14
11	Operation	operator: 23 operand: 20
12	Operation	operator: 34 operands: 16
13	Operation	operator: 17 operands: 18
14	ExprTuple	19, 33
15	ExprTuple	20
16	ExprTuple	33, 21
17	Literal
18	ExprTuple	33, 22
19	Operation	operator: 23 operand: 26
20	Lambda	parameter: 39 body: 25
21	Literal
22	Literal
23	Literal
24	ExprTuple	26
25	Conditional	value: 27 condition: 31
26	Lambda	parameter: 39 body: 28
27	Operation	operator: 29 operands: 30
28	Conditional	value: 32 condition: 31
29	Literal
30	ExprTuple	32, 33
31	Operation	operator: 34 operands: 35
32	Operation	operator: 36 operand: 39
33	Variable
34	Literal
35	ExprTuple	39, 38
36	Variable
37	ExprTuple	39
38	Variable
39	Variable