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, Function, Variable, f, i, j
from proveit.numbers import Add, one, subtract, two

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

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(\left(i - 1\right) + 1\right), f\left(i + 1\right), \ldots, f\left(\left(j - 1\right) + 1\right)\right), \left(f\left(\left(i - 2\right) + 2\right), f\left(\left(i - 1\right) + 2\right), \ldots, f\left(\left(j - 2\right) + 2\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
3	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
4	ExprRange	lambda_map: 8 start_index: 9 end_index: 10
5	Lambda	parameter: 34 body: 11
6	Operation	operator: 31 operands: 12
7	Operation	operator: 31 operands: 13
8	Lambda	parameter: 34 body: 15
9	Operation	operator: 31 operands: 16
10	Operation	operator: 31 operands: 17
11	Operation	operator: 20 operand: 25
12	ExprTuple	22, 19
13	ExprTuple	23, 19
14	ExprTuple	34
15	Operation	operator: 20 operand: 27
16	ExprTuple	22, 24
17	ExprTuple	23, 24
18	ExprTuple	25
19	Operation	operator: 28 operand: 33
20	Variable
21	ExprTuple	27
22	Variable
23	Variable
24	Operation	operator: 28 operand: 35
25	Operation	operator: 31 operands: 30
26	ExprTuple	33
27	Operation	operator: 31 operands: 32
28	Literal
29	ExprTuple	35
30	ExprTuple	34, 33
31	Literal
32	ExprTuple	34, 35
33	Literal
34	Variable
35	Literal