Expression of type ExprTuple

from the theory of proveit.numbers.addition

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, a, b, n
from proveit.core_expr_types import Len, a_1_to_n
from proveit.numbers import Add, one, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [a, b, a_1_to_n]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, Add(n, 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(a, b,a_{1}, a_{2}, \ldots, a_{n}\right)|, |\left(1, 2, \ldots, \left(n + 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	Operation	operator: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	16, 6, 7
4	Literal
5	ExprTuple	8
6	Variable
7	ExprRange	lambda_map: 9 start_index: 11 end_index: 18
8	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
9	Lambda	parameter: 20 body: 13
10	Lambda	parameter: 20 body: 20
11	Literal
12	Operation	operator: 14 operands: 15
13	IndexedVar	variable: 16 index: 20
14	Literal
15	ExprTuple	18, 19
16	Variable
17	ExprTuple	20
18	Variable
19	Literal
20	Variable