Expression of type ExprTuple

from the theory of proveit.numbers.numerals.decimals

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, Function, f, i
from proveit.core_expr_types import f_i_to_j
from proveit.numbers import Add, four, one, three, two

# build up the expression from sub-expressions
expr = ExprTuple([f_i_to_j], [Function(f, [i]), Function(f, [Add(i, one)]), Function(f, [Add(i, two)]), Function(f, [Add(i, three)]), Function(f, [Add(i, four)])])

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(f\left(i\right), f\left(i + 1\right), \ldots, f\left(j\right)\right), \left(f\left(i\right), f\left(i + 1\right), f\left(i + 2\right), f\left(i + 3\right), f\left(i + 4\right)\right)\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	ExprTuple	3
2	ExprTuple	4, 5, 6, 7, 8
3	ExprRange	lambda_map: 9 start_index: 32 end_index: 10
4	Operation	operator: 21 operand: 32
5	Operation	operator: 21 operand: 17
6	Operation	operator: 21 operand: 18
7	Operation	operator: 21 operand: 19
8	Operation	operator: 21 operand: 20
9	Lambda	parameter: 28 body: 16
10	Variable
11	ExprTuple	32
12	ExprTuple	17
13	ExprTuple	18
14	ExprTuple	19
15	ExprTuple	20
16	Operation	operator: 21 operand: 28
17	Operation	operator: 26 operands: 23
18	Operation	operator: 26 operands: 24
19	Operation	operator: 26 operands: 25
20	Operation	operator: 26 operands: 27
21	Variable
22	ExprTuple	28
23	ExprTuple	32, 29
24	ExprTuple	32, 30
25	ExprTuple	32, 31
26	Literal
27	ExprTuple	32, 33
28	Variable
29	Literal
30	Literal
31	Literal
32	Variable
33	Literal