Expression of type Mult

from the theory of proveit.numbers.absolute_value

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, theta
from proveit.numbers import Abs, Exp, Mult, e, i

# build up the expression from sub-expressions
expr = Mult(Abs(a), Abs(b), Abs(Exp(e, Mult(i, theta))), Abs(c))

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|a\right| \cdot \left|b\right| \cdot \left|\mathsf{e}^{\mathsf{i} \cdot \theta}\right| \cdot \left|c\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: 19 operands: 1
1	ExprTuple	2, 3, 4, 5
2	Operation	operator: 9 operand: 11
3	Operation	operator: 9 operand: 12
4	Operation	operator: 9 operand: 13
5	Operation	operator: 9 operand: 14
6	ExprTuple	11
7	ExprTuple	12
8	ExprTuple	13
9	Literal
10	ExprTuple	14
11	Variable
12	Variable
13	Operation	operator: 15 operands: 16
14	Variable
15	Literal
16	ExprTuple	17, 18
17	Literal
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22
21	Literal
22	Variable