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(Mult(frac(one, sub_expr1), subtract(one, Exp(x, Add(two, m)))), frac(subtract(one, Exp(x, Add(m, two))), 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(\frac{1}{1 - x} \cdot \left(1 - x^{2 + m}\right)\right) = \frac{1 - x^{m + 2}}{1 - x}

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: 5 operands: 6
4	Operation	operator: 11 operands: 7
5	Literal
6	ExprTuple	8, 9
7	ExprTuple	10, 15
8	Operation	operator: 11 operands: 12
9	Operation	operator: 34 operands: 13
10	Operation	operator: 34 operands: 14
11	Literal
12	ExprTuple	21, 15
13	ExprTuple	21, 16
14	ExprTuple	21, 17
15	Operation	operator: 34 operands: 18
16	Operation	operator: 25 operand: 23
17	Operation	operator: 25 operand: 24
18	ExprTuple	21, 22
19	ExprTuple	23
20	ExprTuple	24
21	Literal
22	Operation	operator: 25 operand: 31
23	Operation	operator: 28 operands: 27
24	Operation	operator: 28 operands: 29
25	Literal
26	ExprTuple	31
27	ExprTuple	31, 30
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	Variable
37	Literal