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, 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)])])

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