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 = IndexedVar(a, Neg(sub_expr1))
expr = ExprTuple(ExprRange(sub_expr1, sub_expr2, Neg(four), Neg(two)).with_decreasing_order(), ExprRange(sub_expr1, sub_expr2, 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(a_{4}, a_{3}, \ldots, a_{2},a_{1}, \ldots, a_{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
1	ExprRange	lambda_map: 5 start_index: 3 end_index: 4
2	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
3	Operation	operator: 18 operand: 12
4	Operation	operator: 18 operand: 13
5	Lambda	parameter: 20 body: 10
6	Operation	operator: 18 operand: 16
7	Literal
8	ExprTuple	12
9	ExprTuple	13
10	IndexedVar	variable: 14 index: 17
11	ExprTuple	16
12	Literal
13	Literal
14	Variable
15	ExprTuple	17
16	Literal
17	Operation	operator: 18 operand: 20
18	Literal
19	ExprTuple	20
20	Variable