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.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 = IndexedVar(a, sub_expr1)
sub_expr3 = Neg(c)
expr = ExprTuple(Add(Add(ExprRange(sub_expr1, sub_expr2, three, n), b), subtract(sub_expr3, Add(ExprRange(sub_expr1, sub_expr2, one, subtract(n, two))))), Add(IndexedVar(a, subtract(n, one)), IndexedVar(a, n), b, sub_expr3, Neg(IndexedVar(a, one)), Neg(IndexedVar(a, 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_{3} +  a_{4} +  \ldots +  a_{n} + b\right) + \left(-c - \left(a_{1} +  a_{2} +  \ldots +  a_{n - 2}\right)\right), a_{n - 1} + a_{n} + b - c - a_{1} - a_{2}\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: 38 operands: 3
2	Operation	operator: 38 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	7, 8, 18, 19, 9, 10
5	Operation	operator: 38 operands: 11
6	Operation	operator: 38 operands: 12
7	IndexedVar	variable: 40 index: 21
8	IndexedVar	variable: 40 index: 42
9	Operation	operator: 45 operand: 22
10	Operation	operator: 45 operand: 23
11	ExprTuple	17, 18
12	ExprTuple	19, 20
13	ExprTuple	21
14	ExprTuple	42
15	ExprTuple	22
16	ExprTuple	23
17	ExprRange	lambda_map: 34 start_index: 24 end_index: 42
18	Variable
19	Operation	operator: 45 operand: 28
20	Operation	operator: 45 operand: 29
21	Operation	operator: 38 operands: 27
22	IndexedVar	variable: 40 index: 35
23	IndexedVar	variable: 40 index: 47
24	Literal
25	ExprTuple	28
26	ExprTuple	29
27	ExprTuple	42, 30
28	Variable
29	Operation	operator: 38 operands: 31
30	Operation	operator: 45 operand: 35
31	ExprTuple	33
32	ExprTuple	35
33	ExprRange	lambda_map: 34 start_index: 35 end_index: 36
34	Lambda	parameter: 44 body: 37
35	Literal
36	Operation	operator: 38 operands: 39
37	IndexedVar	variable: 40 index: 44
38	Literal
39	ExprTuple	42, 43
40	Variable
41	ExprTuple	44
42	Variable
43	Operation	operator: 45 operand: 47
44	Variable
45	Literal
46	ExprTuple	47
47	Literal