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, eight, five, four, one, seven, six, 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)]), Function(f, [Add(i, five)]), Function(f, [Add(i, six)]), Function(f, [Add(i, seven)]), Function(f, [Add(i, eight)])])

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), f\left(i + 5\right), f\left(i + 6\right), f\left(i + 7\right), f\left(i + 8\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, 9, 10, 11, 12
3	ExprRange	lambda_map: 13 start_index: 52 end_index: 14
4	Operation	operator: 33 operand: 52
5	Operation	operator: 33 operand: 25
6	Operation	operator: 33 operand: 26
7	Operation	operator: 33 operand: 27
8	Operation	operator: 33 operand: 28
9	Operation	operator: 33 operand: 29
10	Operation	operator: 33 operand: 30
11	Operation	operator: 33 operand: 31
12	Operation	operator: 33 operand: 32
13	Lambda	parameter: 44 body: 24
14	Variable
15	ExprTuple	52
16	ExprTuple	25
17	ExprTuple	26
18	ExprTuple	27
19	ExprTuple	28
20	ExprTuple	29
21	ExprTuple	30
22	ExprTuple	31
23	ExprTuple	32
24	Operation	operator: 33 operand: 44
25	Operation	operator: 42 operands: 35
26	Operation	operator: 42 operands: 36
27	Operation	operator: 42 operands: 37
28	Operation	operator: 42 operands: 38
29	Operation	operator: 42 operands: 39
30	Operation	operator: 42 operands: 40
31	Operation	operator: 42 operands: 41
32	Operation	operator: 42 operands: 43
33	Variable
34	ExprTuple	44
35	ExprTuple	52, 45
36	ExprTuple	52, 46
37	ExprTuple	52, 47
38	ExprTuple	52, 48
39	ExprTuple	52, 49
40	ExprTuple	52, 50
41	ExprTuple	52, 51
42	Literal
43	ExprTuple	52, 53
44	Variable
45	Literal
46	Literal
47	Literal
48	Literal
49	Literal
50	Literal
51	Literal
52	Variable
53	Literal