Proof: Algebra 11a

Let's prove the following theorem:

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

then a = d / e

Proof:

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

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