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, n
from proveit.numbers import Add, Exp, Mult, five, four, frac, one, three, two

# build up the expression from sub-expressions
sub_expr1 = Exp(three, n)
sub_expr2 = frac(one, five)
expr = ExprTuple(Mult(four, Exp(four, n), sub_expr1, three, two, sub_expr2), Mult(Exp(four, Add(one, n)), sub_expr1, three, two, 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(4 \cdot 4^{n} \cdot 3^{n} \cdot 3 \cdot 2 \cdot \frac{1}{5}, 4^{1 + n} \cdot 3^{n} \cdot 3 \cdot 2 \cdot \frac{1}{5}\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	17, 6, 8, 19, 9, 10
4	Literal
5	ExprTuple	7, 8, 19, 9, 10
6	Operation	operator: 13 operands: 11
7	Operation	operator: 13 operands: 12
8	Operation	operator: 13 operands: 14
9	Literal
10	Operation	operator: 15 operands: 16
11	ExprTuple	17, 24
12	ExprTuple	17, 18
13	Literal
14	ExprTuple	19, 24
15	Literal
16	ExprTuple	23, 20
17	Literal
18	Operation	operator: 21 operands: 22
19	Literal
20	Literal
21	Literal
22	ExprTuple	23, 24
23	Literal
24	Variable