Expression of type Equals

from the theory of proveit.numbers.multiplication

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

# build up the expression from sub-expressions
sub_expr1 = frac(four, three)
sub_expr2 = Exp(d, two)
sub_expr3 = sqrt(b)
expr = Equals(Mult(Mult(sub_expr1, sub_expr2, b, a, c), Exp(sub_expr3, Neg(one))), Mult(sub_expr1, sub_expr2, sub_expr3, a, 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(\frac{4}{3} \cdot d^{2} \cdot b \cdot a \cdot c\right) \cdot (\sqrt{b})^{-1}\right) = \left(\frac{4}{3} \cdot d^{2} \cdot \sqrt{b} \cdot a \cdot 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: 9 operands: 5
4	Operation	operator: 9 operands: 6
5	ExprTuple	7, 8
6	ExprTuple	12, 13, 16, 14, 15
7	Operation	operator: 9 operands: 10
8	Operation	operator: 20 operands: 11
9	Literal
10	ExprTuple	12, 13, 27, 14, 15
11	ExprTuple	16, 17
12	Operation	operator: 29 operands: 18
13	Operation	operator: 20 operands: 19
14	Variable
15	Variable
16	Operation	operator: 20 operands: 21
17	Operation	operator: 22 operand: 31
18	ExprTuple	24, 25
19	ExprTuple	26, 32
20	Literal
21	ExprTuple	27, 28
22	Literal
23	ExprTuple	31
24	Literal
25	Literal
26	Variable
27	Variable
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Literal
32	Literal