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, IndexedVar, Variable, a, b, d, n
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, frac, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Add(frac(a, d), frac(b, d), ExprRange(sub_expr1, frac(IndexedVar(a, sub_expr1), d), one, n)), frac(Add(a, b, a_1_to_n), d))

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(\frac{a}{d} + \frac{b}{d}+ \frac{a_{1}}{d} +  \frac{a_{2}}{d} +  \ldots +  \frac{a_{n}}{d}, \frac{a + b+ a_{1} +  a_{2} +  \ldots +  a_{n}}{d}\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: 12 operands: 3
2	Operation	operator: 17 operands: 4
3	ExprTuple	5, 6, 7
4	ExprTuple	8, 22
5	Operation	operator: 17 operands: 9
6	Operation	operator: 17 operands: 10
7	ExprRange	lambda_map: 11 start_index: 20 end_index: 21
8	Operation	operator: 12 operands: 13
9	ExprTuple	24, 22
10	ExprTuple	15, 22
11	Lambda	parameter: 26 body: 14
12	Literal
13	ExprTuple	24, 15, 16
14	Operation	operator: 17 operands: 18
15	Variable
16	ExprRange	lambda_map: 19 start_index: 20 end_index: 21
17	Literal
18	ExprTuple	23, 22
19	Lambda	parameter: 26 body: 23
20	Literal
21	Variable
22	Variable
23	IndexedVar	variable: 24 index: 26
24	Variable
25	ExprTuple	26
26	Variable