Proof: Double Transitive Property Less 2

Let's prove the following theorem:

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

then x < y

Proof:

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

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