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, frac, one, subtract, two

# build up the expression from sub-expressions
sub_expr1 = Exp(x, Add(m, one))
sub_expr2 = subtract(one, x)
expr = Add(frac(subtract(one, sub_expr1), sub_expr2), frac(subtract(sub_expr1, Exp(x, Add(two, m))), sub_expr2))

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 + 1}}{1 - x} + \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: 29 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 5 operands: 4
3	Operation	operator: 5 operands: 6
4	ExprTuple	7, 9
5	Literal
6	ExprTuple	8, 9
7	Operation	operator: 29 operands: 10
8	Operation	operator: 29 operands: 11
9	Operation	operator: 29 operands: 12
10	ExprTuple	31, 13
11	ExprTuple	20, 14
12	ExprTuple	31, 15
13	Operation	operator: 18 operand: 20
14	Operation	operator: 18 operand: 21
15	Operation	operator: 18 operand: 26
16	ExprTuple	20
17	ExprTuple	21
18	Literal
19	ExprTuple	26
20	Operation	operator: 23 operands: 22
21	Operation	operator: 23 operands: 24
22	ExprTuple	26, 25
23	Literal
24	ExprTuple	26, 27
25	Operation	operator: 29 operands: 28
26	Variable
27	Operation	operator: 29 operands: 30
28	ExprTuple	33, 31
29	Literal
30	ExprTuple	32, 33
31	Literal
32	Literal
33	Variable