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 ExprTuple
from proveit.core_expr_types import Len
from proveit.core_expr_types.tuples import f_ik_to_jk__1_to_n, range_len_sum

# build up the expression from sub-expressions
expr = ExprTuple(Len(operands = [f_ik_to_jk__1_to_n]), range_len_sum)

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_{1}\left(i_{1}\right), f_{1}\left(i_{1} + 1\right), \ldots, f_{1}\left(j_{1}\right), f_{2}\left(i_{2}\right), f_{2}\left(i_{2} + 1\right), \ldots, f_{2}\left(j_{2}\right), \ldots\ldots, f_{n}\left(i_{n}\right), f_{n}\left(i_{n} + 1\right), \ldots, f_{n}\left(j_{n}\right)\right)|, \left(j_{1} - i_{1} + 1\right) +  \left(j_{2} - i_{2} + 1\right) +  \ldots +  \left(j_{n} - i_{n} + 1\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	Operation	operator: 3 operands: 4
2	Operation	operator: 16 operands: 5
3	Literal
4	ExprTuple	6
5	ExprTuple	7
6	ExprRange	lambda_map: 8 start_index: 21 end_index: 10
7	ExprRange	lambda_map: 9 start_index: 21 end_index: 10
8	Lambda	parameter: 29 body: 11
9	Lambda	parameter: 32 body: 12
10	Variable
11	ExprRange	lambda_map: 13 start_index: 14 end_index: 15
12	Operation	operator: 16 operands: 17
13	Lambda	parameter: 32 body: 18
14	IndexedVar	variable: 30 index: 29
15	IndexedVar	variable: 23 index: 29
16	Literal
17	ExprTuple	19, 20, 21
18	Operation	operator: 22 operand: 32
19	IndexedVar	variable: 23 index: 32
20	Operation	operator: 24 operand: 28
21	Literal
22	IndexedVar	variable: 26 index: 29
23	Variable
24	Literal
25	ExprTuple	28
26	Variable
27	ExprTuple	29
28	IndexedVar	variable: 30 index: 32
29	Variable
30	Variable
31	ExprTuple	32
32	Variable