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

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 \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} \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: 13 operands: 4
3	ExprTuple	5, 6, 7, 8
4	ExprTuple	18, 9
5	Operation	operator: 13 operands: 10
6	Operation	operator: 13 operands: 11
7	Operation	operator: 13 operands: 12
8	Operation	operator: 13 operands: 14
9	Operation	operator: 31 operands: 15
10	ExprTuple	18, 19
11	ExprTuple	18, 16
12	ExprTuple	18, 17
13	Literal
14	ExprTuple	18, 21
15	ExprTuple	19, 20, 21
16	Operation	operator: 36 operands: 22
17	Operation	operator: 36 operands: 23
18	Literal
19	Operation	operator: 36 operands: 24
20	Operation	operator: 36 operands: 25
21	Operation	operator: 36 operands: 26
22	ExprTuple	39, 40, 41, 29, 38
23	ExprTuple	39, 40, 41, 42, 29
24	ExprTuple	39, 40, 41, 27
25	ExprTuple	28, 29
26	ExprTuple	39, 40, 41, 30
27	Variable
28	Operation	operator: 31 operands: 32
29	Variable
30	Variable
31	Literal
32	ExprTuple	33, 34
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