Expression of type Equals

from the theory of proveit.numbers.negation

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 a, b, c
from proveit.logic import Equals
from proveit.numbers import Add, Neg

# build up the expression from sub-expressions
expr = Equals(Neg(Add(a, b, c)), Add(Neg(a), Neg(b), Neg(c)))

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 + c\right)\right) = \left(-a - b - c\right)

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',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# 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
3	Operation	operator: 15 operand: 7
4	Operation	operator: 11 operands: 6
5	ExprTuple	7
6	ExprTuple	8, 9, 10
7	Operation	operator: 11 operands: 12
8	Operation	operator: 15 operand: 17
9	Operation	operator: 15 operand: 18
10	Operation	operator: 15 operand: 19
11	Literal
12	ExprTuple	17, 18, 19
13	ExprTuple	17
14	ExprTuple	18
15	Literal
16	ExprTuple	19
17	Variable
18	Variable
19	Variable