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, c, n
from proveit.core_expr_types import a_1_to_n
from proveit.numbers import Add, Neg, one, subtract, three, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Neg(c)
expr = ExprTuple(Add(Add(a_1_to_n, b), subtract(sub_expr2, Add(ExprRange(sub_expr1, IndexedVar(a, sub_expr1), three, subtract(n, two))))), Add(IndexedVar(a, one), IndexedVar(a, two), IndexedVar(a, subtract(n, one)), IndexedVar(a, n), b, sub_expr2))

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_{1} +  a_{2} +  \ldots +  a_{n} + b\right) + \left(-c - \left(a_{3} +  a_{4} +  \ldots +  a_{n - 2}\right)\right), a_{1} + a_{2} + a_{n - 1} + a_{n} + b - c\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: 34 operands: 3
2	Operation	operator: 34 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	7, 8, 9, 10, 16, 17
5	Operation	operator: 34 operands: 11
6	Operation	operator: 34 operands: 12
7	IndexedVar	variable: 36 index: 29
8	IndexedVar	variable: 36 index: 43
9	IndexedVar	variable: 36 index: 19
10	IndexedVar	variable: 36 index: 38
11	ExprTuple	15, 16
12	ExprTuple	17, 18
13	ExprTuple	19
14	ExprTuple	38
15	ExprRange	lambda_map: 30 start_index: 29 end_index: 38
16	Variable
17	Operation	operator: 41 operand: 23
18	Operation	operator: 41 operand: 24
19	Operation	operator: 34 operands: 22
20	ExprTuple	23
21	ExprTuple	24
22	ExprTuple	38, 25
23	Variable
24	Operation	operator: 34 operands: 26
25	Operation	operator: 41 operand: 29
26	ExprTuple	28
27	ExprTuple	29
28	ExprRange	lambda_map: 30 start_index: 31 end_index: 32
29	Literal
30	Lambda	parameter: 40 body: 33
31	Literal
32	Operation	operator: 34 operands: 35
33	IndexedVar	variable: 36 index: 40
34	Literal
35	ExprTuple	38, 39
36	Variable
37	ExprTuple	40
38	Variable
39	Operation	operator: 41 operand: 43
40	Variable
41	Literal
42	ExprTuple	43
43	Literal