Proof: Substitution 13

Let's prove the following theorem:

if the following are true:
  • a = x
  • b = x ⋅ y

then b = a ⋅ y

Proof:

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Given
1 a = x
2 b = x ⋅ y
Proof Table
# Claim Reason
1 a ⋅ y = x ⋅ y if a = x, then a ⋅ y = x ⋅ y
2 b = a ⋅ y if b = x ⋅ y and a ⋅ y = x ⋅ y, then b = a ⋅ y

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