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, w, x, y, z
from proveit.numbers import Add, Mult

# build up the expression from sub-expressions
sub_expr1 = Mult(x, y)
sub_expr2 = Add(Mult(z, w), Mult(y, z))
expr = ExprTuple(Mult(sub_expr1, sub_expr2, w), Mult(sub_expr2, w, sub_expr1))

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(x \cdot y\right) \cdot \left(\left(z \cdot w\right) + \left(y \cdot z\right)\right) \cdot w, \left(\left(z \cdot w\right) + \left(y \cdot z\right)\right) \cdot w \cdot \left(x \cdot y\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: 14 operands: 3
2	Operation	operator: 14 operands: 4
3	ExprTuple	6, 5, 16
4	ExprTuple	5, 16, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 14 operands: 9
7	Literal
8	ExprTuple	10, 11
9	ExprTuple	12, 17
10	Operation	operator: 14 operands: 13
11	Operation	operator: 14 operands: 15
12	Variable
13	ExprTuple	18, 16
14	Literal
15	ExprTuple	17, 18
16	Variable
17	Variable
18	Variable