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
sub_expr1 = Mult(two, pi, i, delta)
sub_expr2 = Mult(two, pi, i, theta)
expr = ExprTuple(Exp(Mult(Exp(e, sub_expr1), Exp(e, sub_expr2)), k), Exp(e, Mult(Add(sub_expr1, sub_expr2), 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(\left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta}\right)^{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: 14 operands: 3
2	Operation	operator: 14 operands: 4
3	ExprTuple	5, 12
4	ExprTuple	18, 6
5	Operation	operator: 22 operands: 7
6	Operation	operator: 22 operands: 8
7	ExprTuple	9, 10
8	ExprTuple	11, 12
9	Operation	operator: 14 operands: 13
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	Variable
13	ExprTuple	18, 19
14	Literal
15	ExprTuple	18, 20
16	Literal
17	ExprTuple	19, 20
18	Literal
19	Operation	operator: 22 operands: 21
20	Operation	operator: 22 operands: 23
21	ExprTuple	25, 26, 27, 24
22	Literal
23	ExprTuple	25, 26, 27, 28
24	Variable
25	Literal
26	Literal
27	Literal
28	Variable