Expression of type Mult

from the theory of proveit.numbers.multiplication

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 a, b, delta, k, theta
from proveit.numbers import Exp, Mult, e, i, pi, two

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

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}^{2 \cdot \pi \cdot \mathsf{i} \cdot a} \cdot \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta}\right)^{k} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot b}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 26 operands: 1
1	ExprTuple	2, 3, 4
2	Operation	operator: 20 operands: 5
3	Operation	operator: 20 operands: 6
4	Operation	operator: 20 operands: 7
5	ExprTuple	23, 8
6	ExprTuple	9, 10
7	ExprTuple	23, 11
8	Operation	operator: 26 operands: 12
9	Operation	operator: 26 operands: 13
10	Variable
11	Operation	operator: 26 operands: 14
12	ExprTuple	29, 30, 31, 15
13	ExprTuple	16, 17
14	ExprTuple	29, 30, 31, 18
15	Variable
16	Operation	operator: 20 operands: 19
17	Operation	operator: 20 operands: 21
18	Variable
19	ExprTuple	23, 22
20	Literal
21	ExprTuple	23, 24
22	Operation	operator: 26 operands: 25
23	Literal
24	Operation	operator: 26 operands: 27
25	ExprTuple	29, 30, 31, 28
26	Literal
27	ExprTuple	29, 30, 31, 32
28	Variable
29	Literal
30	Literal
31	Literal
32	Variable