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 ExprRange, ExprTuple, IndexedVar, Variable, m, n, w, x, y, z
from proveit.logic import InSet, NotEquals
from proveit.numbers import Complex, one, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(w, sub_expr1), Complex), one, m), InSet(x, Complex), InSet(y, Complex), ExprRange(sub_expr1, InSet(IndexedVar(z, sub_expr1), Complex), one, n), NotEquals(y, 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(\left(w_{1} \in \mathbb{C}\right), \left(w_{2} \in \mathbb{C}\right), \ldots, \left(w_{m} \in \mathbb{C}\right), x \in \mathbb{C}, y \in \mathbb{C},\left(z_{1} \in \mathbb{C}\right), \left(z_{2} \in \mathbb{C}\right), \ldots, \left(z_{n} \in \mathbb{C}\right), y \neq 0\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, 3, 4, 5
1	ExprRange	lambda_map: 6 start_index: 11 end_index: 7
2	Operation	operator: 21 operands: 8
3	Operation	operator: 21 operands: 9
4	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
5	Operation	operator: 13 operands: 14
6	Lambda	parameter: 29 body: 15
7	Variable
8	ExprTuple	16, 25
9	ExprTuple	18, 25
10	Lambda	parameter: 29 body: 17
11	Literal
12	Variable
13	Literal
14	ExprTuple	18, 19
15	Operation	operator: 21 operands: 20
16	Variable
17	Operation	operator: 21 operands: 22
18	Variable
19	Literal
20	ExprTuple	23, 25
21	Literal
22	ExprTuple	24, 25
23	IndexedVar	variable: 26 index: 29
24	IndexedVar	variable: 27 index: 29
25	Literal
26	Variable
27	Variable
28	ExprTuple	29
29	Variable