Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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
from proveit.numbers import Neg, four, one, two, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Neg(four)
sub_expr3 = IndexedVar(a, Neg(sub_expr1))
expr = ExprTuple([ExprRange(sub_expr1, sub_expr3, sub_expr2, zero).with_decreasing_order()], [ExprRange(sub_expr1, sub_expr3, sub_expr2, Neg(two)).with_decreasing_order(), ExprRange(sub_expr1, sub_expr3, Neg(one), zero).with_decreasing_order()])

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(a_{4}, a_{3}, \ldots, a_{0}\right), \left(a_{4}, a_{3}, \ldots, a_{2},a_{1}, \ldots, a_{0}\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
1	ExprTuple	3
2	ExprTuple	4, 5
3	ExprRange	lambda_map: 8 start_index: 6 end_index: 10
4	ExprRange	lambda_map: 8 start_index: 6 end_index: 7
5	ExprRange	lambda_map: 8 start_index: 9 end_index: 10
6	Operation	operator: 21 operand: 15
7	Operation	operator: 21 operand: 16
8	Lambda	parameter: 23 body: 13
9	Operation	operator: 21 operand: 19
10	Literal
11	ExprTuple	15
12	ExprTuple	16
13	IndexedVar	variable: 17 index: 20
14	ExprTuple	19
15	Literal
16	Literal
17	Variable
18	ExprTuple	20
19	Literal
20	Operation	operator: 21 operand: 23
21	Literal
22	ExprTuple	23
23	Variable