Quiz (1 point)
Given that:
a = 1
a ⋅ a = b
Prove that:
1 = b
The following properties may be helpful:
- a ⋅ 1 = a
if a = b, then a ⋅ c = b ⋅ c
if a = b, then c ⋅ a = c ⋅ b
if the following are true:
- a = b
- b = d
- a = c
then d = c
if the following are true:
- a = b
- a = c
then b = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.