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