Expression of type Add

from the theory of proveit.numbers.addition.subtraction

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, IndexedVar, Variable, b, j
from proveit.core_expr_types import a_1_to_i, c_1_to_k
from proveit.numbers import Add, Neg, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Add(a_1_to_i, ExprRange(sub_expr1, Neg(IndexedVar(b, sub_expr1)), one, j), c_1_to_k)

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())

a_{1} +  a_{2} +  \ldots +  a_{i}- b_{1} -  b_{2} -  \ldots -  b_{j}+ c_{1} +  c_{2} +  \ldots +  c_{k}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4, 5
3	ExprRange	lambda_map: 6 start_index: 11 end_index: 7
4	ExprRange	lambda_map: 8 start_index: 11 end_index: 9
5	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
6	Lambda	parameter: 23 body: 13
7	Variable
8	Lambda	parameter: 23 body: 14
9	Variable
10	Lambda	parameter: 23 body: 15
11	Literal
12	Variable
13	IndexedVar	variable: 16 index: 23
14	Operation	operator: 17 operand: 20
15	IndexedVar	variable: 19 index: 23
16	Variable
17	Literal
18	ExprTuple	20
19	Variable
20	IndexedVar	variable: 21 index: 23
21	Variable
22	ExprTuple	23
23	Variable