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