Common general_range_of_ranges of type ExprTuple

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 general_range_of_ranges

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

Passed sanity check: general_range_of_ranges matches stored_expr

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

\left(f\left(m, i\left(m\right)\right), f\left(m, i\left(m\right) + 1\right), \ldots, f\left(m, j\left(m\right)\right), f\left(m + 1, i\left(m + 1\right)\right), f\left(m + 1, i\left(m + 1\right) + 1\right), \ldots, f\left(m + 1, j\left(m + 1\right)\right), \ldots\ldots, f\left(n, i\left(n\right)\right), f\left(n, i\left(n\right) + 1\right), \ldots, f\left(n, j\left(n\right)\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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