Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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 ExprRange, ExprTuple, Variable, i, j, k
from proveit.numbers import Add, Exp, e, four, one, three, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple([ExprRange(sub_expr1, Exp(e, Add(sub_expr1, j)), i, k)], [Exp(e, Add(i, j)), Exp(e, Add(Add(i, one), j)), Exp(e, Add(Add(i, two), j)), Exp(e, Add(Add(i, three), j)), Exp(e, Add(Add(i, four), j))])

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(\mathsf{e}^{i + j}, \mathsf{e}^{\left(i + 1\right) + j}, \ldots, \mathsf{e}^{k + j}\right), \left(\mathsf{e}^{i + j}, \mathsf{e}^{\left(i + 1\right) + j}, \mathsf{e}^{\left(i + 2\right) + j}, \mathsf{e}^{\left(i + 3\right) + j}, \mathsf{e}^{\left(i + 4\right) + j}\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: 47 end_index: 10
4	Operation	operator: 23 operands: 11
5	Operation	operator: 23 operands: 12
6	Operation	operator: 23 operands: 13
7	Operation	operator: 23 operands: 14
8	Operation	operator: 23 operands: 15
9	Lambda	parameter: 42 body: 17
10	Variable
11	ExprTuple	30, 18
12	ExprTuple	30, 19
13	ExprTuple	30, 20
14	ExprTuple	30, 21
15	ExprTuple	30, 22
16	ExprTuple	42
17	Operation	operator: 23 operands: 24
18	Operation	operator: 40 operands: 25
19	Operation	operator: 40 operands: 26
20	Operation	operator: 40 operands: 27
21	Operation	operator: 40 operands: 28
22	Operation	operator: 40 operands: 29
23	Literal
24	ExprTuple	30, 31
25	ExprTuple	47, 43
26	ExprTuple	32, 43
27	ExprTuple	33, 43
28	ExprTuple	34, 43
29	ExprTuple	35, 43
30	Literal
31	Operation	operator: 40 operands: 36
32	Operation	operator: 40 operands: 37
33	Operation	operator: 40 operands: 38
34	Operation	operator: 40 operands: 39
35	Operation	operator: 40 operands: 41
36	ExprTuple	42, 43
37	ExprTuple	47, 44
38	ExprTuple	47, 45
39	ExprTuple	47, 46
40	Literal
41	ExprTuple	47, 48
42	Variable
43	Variable
44	Literal
45	Literal
46	Literal
47	Variable
48	Literal