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

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

\left(a + b\right) \cdot \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot k \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta \cdot k}\right) \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: 22 operands: 1
1	ExprTuple	2, 3, 4
2	Operation	operator: 5 operands: 6
3	Operation	operator: 22 operands: 7
4	Operation	operator: 14 operands: 8
5	Literal
6	ExprTuple	9, 20
7	ExprTuple	10, 11
8	ExprTuple	18, 12
9	Variable
10	Operation	operator: 14 operands: 13
11	Operation	operator: 14 operands: 15
12	Operation	operator: 22 operands: 16
13	ExprTuple	18, 17
14	Literal
15	ExprTuple	18, 19
16	ExprTuple	25, 26, 27, 20
17	Operation	operator: 22 operands: 21
18	Literal
19	Operation	operator: 22 operands: 23
20	Variable
21	ExprTuple	25, 26, 27, 29, 24
22	Literal
23	ExprTuple	25, 26, 27, 28, 29
24	Variable
25	Literal
26	Literal
27	Literal
28	Variable
29	Variable