Expression of type ExprTuple

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

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

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

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

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