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

# build up the expression from sub-expressions
sub_expr1 = Exp(a, k)
sub_expr2 = Exp(e, Mult(two, pi, i, theta, k))
sub_expr3 = Exp(Add(a, b), k)
sub_expr4 = Exp(e, Mult(two, pi, i, b))
expr = ExprTuple(Mult(sub_expr1, sub_expr2, sub_expr3, sub_expr4), Mult(sub_expr1, Mult(sub_expr2, sub_expr3), sub_expr4))

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^{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}, a^{k} \cdot \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta \cdot k} \cdot \left(a + b\right)^{k}\right) \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot b}\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: 21 operands: 3
2	Operation	operator: 21 operands: 4
3	ExprTuple	5, 11, 12, 7
4	ExprTuple	5, 6, 7
5	Operation	operator: 15 operands: 8
6	Operation	operator: 21 operands: 9
7	Operation	operator: 15 operands: 10
8	ExprTuple	30, 29
9	ExprTuple	11, 12
10	ExprTuple	18, 13
11	Operation	operator: 15 operands: 14
12	Operation	operator: 15 operands: 16
13	Operation	operator: 21 operands: 17
14	ExprTuple	18, 19
15	Literal
16	ExprTuple	20, 29
17	ExprTuple	25, 26, 27, 31
18	Literal
19	Operation	operator: 21 operands: 22
20	Operation	operator: 23 operands: 24
21	Literal
22	ExprTuple	25, 26, 27, 28, 29
23	Literal
24	ExprTuple	30, 31
25	Literal
26	Literal
27	Literal
28	Variable
29	Variable
30	Variable
31	Variable