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 ExprRange, ExprTuple, Variable, a, b, delta, k, theta
from proveit.core_expr_types import Len
from proveit.numbers import Add, Mult, i, one, pi, three, two

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [Mult(two, pi, i, a), Mult(Add(Mult(two, pi, i, delta), Mult(two, pi, i, theta)), k), Mult(two, pi, i, b)]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, three)]))

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(2 \cdot \pi \cdot \mathsf{i} \cdot a, \left(\left(2 \cdot \pi \cdot \mathsf{i} \cdot \delta\right) + \left(2 \cdot \pi \cdot \mathsf{i} \cdot \theta\right)\right) \cdot k, 2 \cdot \pi \cdot \mathsf{i} \cdot b\right)|, |\left(1, 2, \ldots, 3\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7, 8
4	Literal
5	ExprTuple	9
6	Operation	operator: 27 operands: 10
7	Operation	operator: 27 operands: 11
8	Operation	operator: 27 operands: 12
9	ExprRange	lambda_map: 13 start_index: 14 end_index: 15
10	ExprTuple	30, 31, 32, 16
11	ExprTuple	17, 18
12	ExprTuple	30, 31, 32, 19
13	Lambda	parameter: 23 body: 23
14	Literal
15	Literal
16	Variable
17	Operation	operator: 21 operands: 22
18	Variable
19	Variable
20	ExprTuple	23
21	Literal
22	ExprTuple	24, 25
23	Variable
24	Operation	operator: 27 operands: 26
25	Operation	operator: 27 operands: 28
26	ExprTuple	30, 31, 32, 29
27	Literal
28	ExprTuple	30, 31, 32, 33
29	Variable
30	Literal
31	Literal
32	Literal
33	Variable