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, one, subtract, two

# build up the expression from sub-expressions
sub_expr1 = Exp(x, Add(m, one))
expr = Add(subtract(one, sub_expr1), 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(1 - x^{m + 1}\right) + \left(x^{m + 1} - x^{2 + m}\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: 20 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 20 operands: 4
3	Operation	operator: 20 operands: 5
4	ExprTuple	22, 6
5	ExprTuple	11, 7
6	Operation	operator: 9 operand: 11
7	Operation	operator: 9 operand: 12
8	ExprTuple	11
9	Literal
10	ExprTuple	12
11	Operation	operator: 14 operands: 13
12	Operation	operator: 14 operands: 15
13	ExprTuple	17, 16
14	Literal
15	ExprTuple	17, 18
16	Operation	operator: 20 operands: 19
17	Variable
18	Operation	operator: 20 operands: 21
19	ExprTuple	24, 22
20	Literal
21	ExprTuple	23, 24
22	Literal
23	Literal
24	Variable