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, b, 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, b)
sub_expr2 = Mult(Add(Mult(two, pi, i, delta), Mult(two, pi, i, theta)), k)
expr = ExprTuple(Mult(Exp(e, sub_expr2), Exp(e, sub_expr1)), Exp(e, Add(sub_expr2, sub_expr1)))

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