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, k, theta
from proveit.numbers import Add, Exp, Mult, e, i, pi, two

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

a^{k} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta \cdot k} \cdot \left(a + b\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: 18 operands: 1
1	ExprTuple	2, 3, 4, 5
2	Operation	operator: 9 operands: 6
3	Operation	operator: 9 operands: 7
4	Operation	operator: 9 operands: 8
5	Operation	operator: 9 operands: 10
6	ExprTuple	22, 21
7	ExprTuple	13, 11
8	ExprTuple	12, 21
9	Literal
10	ExprTuple	13, 14
11	Operation	operator: 18 operands: 15
12	Operation	operator: 16 operands: 17
13	Literal
14	Operation	operator: 18 operands: 19
15	ExprTuple	23, 24, 25, 20, 21
16	Literal
17	ExprTuple	22, 26
18	Literal
19	ExprTuple	23, 24, 25, 26
20	Variable
21	Variable
22	Variable
23	Literal
24	Literal
25	Literal
26	Variable