Expression of type ExprTuple

from the theory of proveit.numbers.addition

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, a, b, c, d, m, n
from proveit.logic import InSet, NotEquals
from proveit.numbers import Complex, Natural, NaturalPos, one, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(InSet(a, Complex), InSet(b, Complex), InSet(c, Complex), InSet(d, Complex), NotEquals(b, zero), NotEquals(d, zero), InSet(n, NaturalPos), InSet(m, Natural), ExprRange(sub_expr1, InSet(IndexedVar(a, sub_expr1), Complex), one, n))

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(a \in \mathbb{C}, b \in \mathbb{C}, c \in \mathbb{C}, d \in \mathbb{C}, b \neq 0, d \neq 0, n \in \mathbb{N}^+, m \in \mathbb{N},\left(a_{1} \in \mathbb{C}\right), \left(a_{2} \in \mathbb{C}\right), \ldots, \left(a_{n} \in \mathbb{C}\right)\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, 6, 7, 8, 9
1	Operation	operator: 30 operands: 10
2	Operation	operator: 30 operands: 11
3	Operation	operator: 30 operands: 12
4	Operation	operator: 30 operands: 13
5	Operation	operator: 15 operands: 14
6	Operation	operator: 15 operands: 16
7	Operation	operator: 30 operands: 17
8	Operation	operator: 30 operands: 18
9	ExprRange	lambda_map: 19 start_index: 20 end_index: 25
10	ExprTuple	34, 33
11	ExprTuple	22, 33
12	ExprTuple	21, 33
13	ExprTuple	23, 33
14	ExprTuple	22, 24
15	Literal
16	ExprTuple	23, 24
17	ExprTuple	25, 26
18	ExprTuple	27, 28
19	Lambda	parameter: 36 body: 29
20	Literal
21	Variable
22	Variable
23	Variable
24	Literal
25	Variable
26	Literal
27	Variable
28	Literal
29	Operation	operator: 30 operands: 31
30	Literal
31	ExprTuple	32, 33
32	IndexedVar	variable: 34 index: 36
33	Literal
34	Variable
35	ExprTuple	36
36	Variable