Expression of type Mult

from the theory of proveit.numbers.multiplication

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 Exp, Mult

# build up the expression from sub-expressions
sub_expr1 = Exp(a, b)
expr = Mult(sub_expr1, Mult(Exp(a, c), sub_expr1, Exp(a, d)), b)

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())

a^{b} \cdot \left(a^{c} \cdot a^{b} \cdot a^{d}\right) \cdot b

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: 3 operands: 1
1	ExprTuple	6, 2, 13
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6, 7
5	Operation	operator: 10 operands: 8
6	Operation	operator: 10 operands: 9
7	Operation	operator: 10 operands: 11
8	ExprTuple	14, 12
9	ExprTuple	14, 13
10	Literal
11	ExprTuple	14, 15
12	Variable
13	Variable
14	Variable
15	Variable