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, c, d
from proveit.numbers import Exp, Mult

# build up the expression from sub-expressions
sub_expr1 = Exp(a, b)
sub_expr2 = Exp(a, c)
sub_expr3 = Exp(a, d)
expr = ExprTuple(Mult(sub_expr1, sub_expr2, sub_expr1, sub_expr3, b), Mult(sub_expr1, Mult(sub_expr2, sub_expr1, sub_expr3), b))

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(a^{b} \cdot a^{c} \cdot a^{b} \cdot a^{d} \cdot b, a^{b} \cdot \left(a^{c} \cdot a^{b} \cdot a^{d}\right) \cdot b\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: 6 operands: 3
2	Operation	operator: 6 operands: 4
3	ExprTuple	9, 8, 9, 10, 16
4	ExprTuple	9, 5, 16
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 9, 10
8	Operation	operator: 13 operands: 11
9	Operation	operator: 13 operands: 12
10	Operation	operator: 13 operands: 14
11	ExprTuple	17, 15
12	ExprTuple	17, 16
13	Literal
14	ExprTuple	17, 18
15	Variable
16	Variable
17	Variable
18	Variable