Proof: Divide Substitute

Let's prove the following theorem:

if the following are true:
  • a = b / c
  • b = d

then a = d / c

Proof:

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Given
1 a = b / c
2 b = d
Proof Table
# Claim Reason
1 b / c = d / c if b = d, then b / c = d / c
2 a = d / c if a = b / c and b / c = d / c, then a = d / c
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