Expression of type Exp

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 Add, Exp, Mult, e, i, pi, two

# build up the expression from sub-expressions
expr = Exp(e, Mult(i, Add(Mult(two, pi, theta), pi)))

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())

\mathsf{e}^{\mathsf{i} \cdot \left(\left(2 \cdot \pi \cdot \theta\right) + \pi\right)}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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