(a ⋅ b) ⋅ c = (c ⋅ a) ⋅ b

Start from the conclusion and work back up the proof. Click the arrow to show the parents.

• (a ⋅ b) ⋅ c = (c ⋅ a) ⋅ b,

  if the following are true:

  • a = b
  • b = c

  then a = c

  • (a ⋅ b) ⋅ c = (a ⋅ c) ⋅ b, (a ⋅ b) ⋅ c = (a ⋅ c) ⋅ b
  • (a ⋅ c) ⋅ b = (c ⋅ a) ⋅ b,

    if a = b, then a ⋅ c = b ⋅ c

    • a ⋅ c = c ⋅ a, a ⋅ b = b ⋅ a