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.core_expr_types import i_to_j_len
from proveit.logic import InSet
from proveit.numbers import Natural

# build up the expression from sub-expressions
expr = ExprTuple(InSet(i_to_j_len, Natural), InSet(i, Natural), InSet(j, 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 - i + 1\right) \in \mathbb{N}, i \in \mathbb{N}, j \in \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, 3
1	Operation	operator: 6 operands: 4
2	Operation	operator: 6 operands: 5
3	Operation	operator: 6 operands: 7
4	ExprTuple	8, 9
5	ExprTuple	17, 9
6	Literal
7	ExprTuple	12, 9
8	Operation	operator: 10 operands: 11
9	Literal
10	Literal
11	ExprTuple	12, 13, 14
12	Variable
13	Operation	operator: 15 operand: 17
14	Literal
15	Literal
16	ExprTuple	17
17	Variable