Common range_len_sum of type Add

from the theory of proveit.core_expr_types.tuples

import proveit
# Automation is not needed when only 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 the special expression
from proveit.core_expr_types.tuples import range_len_sum

# check that the built expression is the same as the stored expression
assert range_len_sum == stored_expr
assert range_len_sum._style_id == stored_expr._style_id
print("Passed sanity check: range_len_sum matches stored_expr")

Passed sanity check: range_len_sum matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(j_{1} - i_{1} + 1\right) +  \left(j_{2} - i_{2} + 1\right) +  \ldots +  \left(j_{n} - i_{n} + 1\right)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 6 operands: 1
1	ExprTuple	2
2	ExprRange	lambda_map: 3 start_index: 10 end_index: 4
3	Lambda	parameter: 17 body: 5
4	Variable
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 9, 10
8	IndexedVar	variable: 11 index: 17
9	Operation	operator: 12 operand: 14
10	Literal
11	Variable
12	Literal
13	ExprTuple	14
14	IndexedVar	variable: 15 index: 17
15	Variable
16	ExprTuple	17
17	Variable