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 ExprTuple, i, j
from proveit.numbers import Natural, Neg, one, subtract

# build up the expression from sub-expressions
expr = ExprTuple(subtract(subtract(Neg(j), one), Neg(i)), Natural)

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(-j - 1\right) - \left(-i\right), \mathbb{N}\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	Operation	operator: 6 operands: 3
2	Literal
3	ExprTuple	4, 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 14 operand: 11
6	Literal
7	ExprTuple	9, 10
8	ExprTuple	11
9	Operation	operator: 14 operand: 16
10	Operation	operator: 14 operand: 17
11	Operation	operator: 14 operand: 18
12	ExprTuple	16
13	ExprTuple	17
14	Literal
15	ExprTuple	18
16	Variable
17	Literal
18	Variable