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, 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, a)
sub_expr2 = Mult(two, pi, i, delta)
sub_expr3 = Mult(two, pi, i, theta)
sub_expr4 = Mult(two, pi, i, b)
expr = ExprTuple(Mult(Exp(e, sub_expr1), Exp(Mult(Exp(e, sub_expr2), Exp(e, sub_expr3)), k), Exp(e, sub_expr4)), Exp(e, Add(sub_expr1, Mult(Add(sub_expr2, sub_expr3), k), 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(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot a} \cdot \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta}\right)^{k} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot b}, \mathsf{e}^{\left(2 \cdot \pi \cdot \mathsf{i} \cdot a\right) + \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: 36 operands: 3
2	Operation	operator: 28 operands: 4
3	ExprTuple	5, 6, 7
4	ExprTuple	32, 8
5	Operation	operator: 28 operands: 9
6	Operation	operator: 28 operands: 10
7	Operation	operator: 28 operands: 11
8	Operation	operator: 30 operands: 12
9	ExprTuple	32, 14
10	ExprTuple	13, 25
11	ExprTuple	32, 16
12	ExprTuple	14, 15, 16
13	Operation	operator: 36 operands: 17
14	Operation	operator: 36 operands: 18
15	Operation	operator: 36 operands: 19
16	Operation	operator: 36 operands: 20
17	ExprTuple	21, 22
18	ExprTuple	39, 40, 41, 23
19	ExprTuple	24, 25
20	ExprTuple	39, 40, 41, 26
21	Operation	operator: 28 operands: 27
22	Operation	operator: 28 operands: 29
23	Variable
24	Operation	operator: 30 operands: 31
25	Variable
26	Variable
27	ExprTuple	32, 33
28	Literal
29	ExprTuple	32, 34
30	Literal
31	ExprTuple	33, 34
32	Literal
33	Operation	operator: 36 operands: 35
34	Operation	operator: 36 operands: 37
35	ExprTuple	39, 40, 41, 38
36	Literal
37	ExprTuple	39, 40, 41, 42
38	Variable
39	Literal
40	Literal
41	Literal
42	Variable