Proof: Multiply by Inverse 2

Let's prove the following theorem:

(1 / b) ⋅ a = a / b

Proof:

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Proof Table
# Claim Reason
1 (1 / b) ⋅ a = a ⋅ (1 / b) (1 / b) ⋅ a = a ⋅ (1 / b)
2 a ⋅ (1 / b) = a / b a ⋅ (1 / b) = a / b
3 (1 / b) ⋅ a = a / b if a ⋅ (1 / b) = a / b and (1 / b) ⋅ a = a ⋅ (1 / b), then (1 / b) ⋅ a = a / b

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