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 theta
from proveit.numbers import Abs, Add, Exp, Mult, Neg, e, i, one, pi, two

# build up the expression from sub-expressions
expr = Abs(Add(Neg(Exp(e, Mult(two, pi, i, theta))), 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|-\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta} + 1\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	6, 7
6	Operation	operator: 8 operand: 10
7	Literal
8	Literal
9	ExprTuple	10
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Literal
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17, 18, 19, 20
17	Literal
18	Literal
19	Literal
20	Variable