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(Mult(r, Exp(e, Mult(i, Neg(theta)))))

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|r \cdot \mathsf{e}^{\mathsf{i} \cdot \left(-\theta\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: 11 operands: 4
4	ExprTuple	5, 6
5	Variable
6	Operation	operator: 7 operands: 8
7	Literal
8	ExprTuple	9, 10
9	Literal
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Literal
14	Operation	operator: 15 operand: 17
15	Literal
16	ExprTuple	17
17	Variable