Expression of type Abs

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

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

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(r \cdot \mathsf{e}^{-\left(\theta \cdot \mathsf{i}\right)}\right)\right|

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Operation	operator: 13 operand: 5
4	ExprTuple	5
5	Operation	operator: 16 operands: 6
6	ExprTuple	7, 8
7	Variable
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 12
11	Literal
12	Operation	operator: 13 operand: 15
13	Literal
14	ExprTuple	15
15	Operation	operator: 16 operands: 17
16	Literal
17	ExprTuple	18, 19
18	Variable
19	Literal