if a ⋅ b = c, then a = c / b
Start from the conclusion and work back up the proof. Click the arrow to show the parents.
- a = c / b,
if the following are true:
- a = b
- a = c
then b = c
- a ⋅ 1 = a, a ⋅ 1 = a
- a ⋅ 1 = c / b,
if the following are true:
- a = b
- a = c
then b = c
- (a ⋅ b) / b = a ⋅ 1,
if the following are true:
- a = b
- b = c
then a = c
- (a ⋅ b) / b = a ⋅ (b / b), (a ⋅ b) / c = a ⋅ (b / c)
- a ⋅ (b / b) = a ⋅ 1,
if a = b, then c ⋅ a = c ⋅ b
- b / b = 1, a / a = 1
- (a ⋅ b) / b = c / b,
if a = b, then a / c = b / c
- a ⋅ b = c