Expression of type Equals

from the theory of proveit.numbers.summation

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 m, x
from proveit.logic import Equals
from proveit.numbers import Add, Exp, Mult, frac, one, subtract, two

# build up the expression from sub-expressions
sub_expr1 = subtract(one, x)
expr = Equals(frac(subtract(one, Exp(x, Add(m, two))), sub_expr1), Mult(frac(one, sub_expr1), subtract(one, Exp(x, Add(two, m)))))

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())

\frac{1 - x^{m + 2}}{1 - x} = \left(\frac{1}{1 - x} \cdot \left(1 - x^{2 + m}\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: 12 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 16
6	Literal
7	ExprTuple	9, 10
8	Operation	operator: 34 operands: 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 34 operands: 14
11	ExprTuple	22, 15
12	Literal
13	ExprTuple	22, 16
14	ExprTuple	22, 17
15	Operation	operator: 26 operand: 21
16	Operation	operator: 34 operands: 19
17	Operation	operator: 26 operand: 24
18	ExprTuple	21
19	ExprTuple	22, 23
20	ExprTuple	24
21	Operation	operator: 28 operands: 25
22	Literal
23	Operation	operator: 26 operand: 31
24	Operation	operator: 28 operands: 29
25	ExprTuple	31, 30
26	Literal
27	ExprTuple	31
28	Literal
29	ExprTuple	31, 32
30	Operation	operator: 34 operands: 33
31	Variable
32	Operation	operator: 34 operands: 35
33	ExprTuple	37, 36
34	Literal
35	ExprTuple	36, 37
36	Literal
37	Variable