- #1
smerhej
- 20
- 0
Homework Statement
Establish a [itex]\bullet[/itex] 0 = 0
Homework Equations
A few axioms I thought to be relevant..
The Attempt at a Solution
a = a
a [itex]\bullet[/itex] 0 = 0 [itex]\bullet[/itex] a
(a [itex]\bullet[/itex] 0) - (0 [itex]\bullet[/itex] a) = 0
a(1 [itex]\bullet[/itex] 0) - a(0 [itex]\bullet[/itex] 1) = 0
a[(1 [itex]\bullet[/itex] 0) - (0 [itex]\bullet[/itex] 1)] = 0
a [itex]\bullet[/itex] 0 = 0