Expression of type Mult

from the theory of proveit.numbers.division

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 a, b, c, d
from proveit.numbers import Add, Exp, Mult, Neg, one

# build up the expression from sub-expressions
sub_expr1 = Neg(one)
expr = Mult(Mult(Add(a, b, c), b), Exp(a, sub_expr1), Exp(d, 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(\left(a + b + c\right) \cdot b\right) \cdot a^{-1} \cdot d^{-1}

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: 5 operands: 1
1	ExprTuple	2, 3, 4
2	Operation	operator: 5 operands: 6
3	Operation	operator: 8 operands: 7
4	Operation	operator: 8 operands: 9
5	Literal
6	ExprTuple	10, 18
7	ExprTuple	17, 12
8	Literal
9	ExprTuple	11, 12
10	Operation	operator: 13 operands: 14
11	Variable
12	Operation	operator: 15 operand: 20
13	Literal
14	ExprTuple	17, 18, 19
15	Literal
16	ExprTuple	20
17	Variable
18	Variable
19	Variable
20	Literal