Expression of type Equals

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 b
from proveit.logic import Equals
from proveit.numbers import Add, Mult, Neg, one, three, two

# build up the expression from sub-expressions
sub_expr1 = Mult(b, two)
sub_expr2 = Mult(b, three)
expr = Equals(Add(sub_expr1, sub_expr2, b, Neg(b)), Add(sub_expr1, sub_expr2, b, Mult(b, Neg(one))))

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(b \cdot 2\right) + \left(b \cdot 3\right) + b - b\right) = \left(\left(b \cdot 2\right) + \left(b \cdot 3\right) + b + \left(b \cdot \left(-1\right)\right)\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: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	9, 10, 19, 8
6	Literal
7	ExprTuple	9, 10, 19, 11
8	Operation	operator: 21 operand: 19
9	Operation	operator: 15 operands: 13
10	Operation	operator: 15 operands: 14
11	Operation	operator: 15 operands: 16
12	ExprTuple	19
13	ExprTuple	19, 17
14	ExprTuple	19, 18
15	Literal
16	ExprTuple	19, 20
17	Literal
18	Literal
19	Variable
20	Operation	operator: 21 operand: 23
21	Literal
22	ExprTuple	23
23	Literal