Proof: Double Inequality 2

Let's prove the following theorem:

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

then c > d

Proof:

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

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