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 = Exp(x, Add(m, one))
sub_expr2 = frac(one, subtract(one, x))
expr = Add(Mult(sub_expr2, subtract(one, sub_expr1)), Mult(sub_expr2, subtract(sub_expr1, 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())

\left(\frac{1}{1 - x} \cdot \left(1 - x^{m + 1}\right)\right) + \left(\frac{1}{1 - x} \cdot \left(x^{m + 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',)

# 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: 5 operands: 4
3	Operation	operator: 5 operands: 6
4	ExprTuple	8, 7
5	Literal
6	ExprTuple	8, 9
7	Operation	operator: 32 operands: 10
8	Operation	operator: 11 operands: 12
9	Operation	operator: 32 operands: 13
10	ExprTuple	34, 14
11	Literal
12	ExprTuple	34, 15
13	ExprTuple	20, 16
14	Operation	operator: 24 operand: 20
15	Operation	operator: 32 operands: 18
16	Operation	operator: 24 operand: 22
17	ExprTuple	20
18	ExprTuple	34, 21
19	ExprTuple	22
20	Operation	operator: 26 operands: 23
21	Operation	operator: 24 operand: 29
22	Operation	operator: 26 operands: 27
23	ExprTuple	29, 28
24	Literal
25	ExprTuple	29
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