Expression of type Abs

from the theory of proveit.trigonometry

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, e, i, subtract

# build up the expression from sub-expressions
expr = Abs(subtract(r, Mult(r, Exp(e, Mult(i, 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 - \left(r \cdot \mathsf{e}^{\mathsf{i} \cdot \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: 4 operands: 5
4	Literal
5	ExprTuple	11, 6
6	Operation	operator: 7 operand: 9
7	Literal
8	ExprTuple	9
9	Operation	operator: 17 operands: 10
10	ExprTuple	11, 12
11	Variable
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16
15	Literal
16	Operation	operator: 17 operands: 18
17	Literal
18	ExprTuple	19, 20
19	Literal
20	Variable