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 a, b, c, d
from proveit.logic import Equals
from proveit.numbers import Add, Mult, Neg, frac, one, two

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

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(a - \left(\frac{1}{2} \cdot a\right) + b + d + b + \left(2 \cdot c\right)\right) = \left(\left(\frac{1}{2} \cdot a\right) + \left(2 \cdot b\right) + d + \left(2 \cdot c\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	22, 8, 17, 10, 17, 11
6	Literal
7	ExprTuple	16, 9, 10, 11
8	Operation	operator: 12 operand: 16
9	Operation	operator: 19 operands: 14
10	Variable
11	Operation	operator: 19 operands: 15
12	Literal
13	ExprTuple	16
14	ExprTuple	26, 17
15	ExprTuple	26, 18
16	Operation	operator: 19 operands: 20
17	Variable
18	Variable
19	Literal
20	ExprTuple	21, 22
21	Operation	operator: 23 operands: 24
22	Variable
23	Literal
24	ExprTuple	25, 26
25	Literal
26	Literal