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, Neg, four, frac, one, sqrt, three, two

# build up the expression from sub-expressions
expr = Mult(Mult(frac(four, three), Exp(d, two), b, a, c), Exp(sqrt(b), Neg(one)))

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{4}{3} \cdot d^{2} \cdot b \cdot a \cdot c\right) \cdot (\sqrt{b})^{-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: 4 operands: 1
1	ExprTuple	2, 3
2	Operation	operator: 4 operands: 5
3	Operation	operator: 15 operands: 6
4	Literal
5	ExprTuple	7, 8, 22, 9, 10
6	ExprTuple	11, 12
7	Operation	operator: 24 operands: 13
8	Operation	operator: 15 operands: 14
9	Variable
10	Variable
11	Operation	operator: 15 operands: 16
12	Operation	operator: 17 operand: 26
13	ExprTuple	19, 20
14	ExprTuple	21, 27
15	Literal
16	ExprTuple	22, 23
17	Literal
18	ExprTuple	26
19	Literal
20	Literal
21	Variable
22	Variable
23	Operation	operator: 24 operands: 25
24	Literal
25	ExprTuple	26, 27
26	Literal
27	Literal