Expression of type Equals

from the theory of proveit.numbers.division

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 Exp, Mult, Neg, four, frac, one, three, two

# build up the expression from sub-expressions
sub_expr1 = frac(four, three)
sub_expr2 = frac(three, two)
sub_expr3 = Exp(c, Neg(one))
expr = Equals(Mult(sub_expr1, a, b, sub_expr2, sub_expr3), Mult(a, b, sub_expr2, sub_expr1, sub_expr3)).with_wrapping_at(2)

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())

\begin{array}{c} \begin{array}{l} \left(\frac{4}{3} \cdot a \cdot b \cdot \frac{3}{2} \cdot c^{-1}\right) =  \\ \left(a \cdot b \cdot \frac{3}{2} \cdot \frac{4}{3} \cdot c^{-1}\right) \end{array} \end{array}

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.	()	(2)	('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	11, 8, 9, 10, 12
6	Literal
7	ExprTuple	8, 9, 10, 11, 12
8	Variable
9	Variable
10	Operation	operator: 14 operands: 13
11	Operation	operator: 14 operands: 15
12	Operation	operator: 16 operands: 17
13	ExprTuple	20, 18
14	Literal
15	ExprTuple	19, 20
16	Literal
17	ExprTuple	21, 22
18	Literal
19	Literal
20	Literal
21	Variable
22	Operation	operator: 23 operand: 25
23	Literal
24	ExprTuple	25
25	Literal