Expression of type Add

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.numbers import Add, Exp, Mult, frac, one, subtract, two

# build up the expression from sub-expressions
sub_expr1 = subtract(one, x)
sub_expr2 = Exp(x, Add(m, one))
expr = Add(Mult(frac(one, sub_expr1), subtract(one, sub_expr2)), frac(subtract(sub_expr2, Exp(x, Add(two, m))), 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^{m + 1}\right)\right) + \frac{x^{m + 1} - x^{2 + m}}{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',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 32 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 4 operands: 5
3	Operation	operator: 10 operands: 6
4	Literal
5	ExprTuple	7, 8
6	ExprTuple	9, 14
7	Operation	operator: 10 operands: 11
8	Operation	operator: 32 operands: 12
9	Operation	operator: 32 operands: 13
10	Literal
11	ExprTuple	34, 14
12	ExprTuple	34, 15
13	ExprTuple	21, 16
14	Operation	operator: 32 operands: 17
15	Operation	operator: 23 operand: 21
16	Operation	operator: 23 operand: 22
17	ExprTuple	34, 20
18	ExprTuple	21
19	ExprTuple	22
20	Operation	operator: 23 operand: 29
21	Operation	operator: 26 operands: 25
22	Operation	operator: 26 operands: 27
23	Literal
24	ExprTuple	29
25	ExprTuple	29, 28
26	Literal
27	ExprTuple	29, 30
28	Operation	operator: 32 operands: 31
29	Variable
30	Operation	operator: 32 operands: 33
31	ExprTuple	36, 34
32	Literal
33	ExprTuple	35, 36
34	Literal
35	Literal
36	Variable