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, 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)])])

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