Proof: Double to Half

Let's prove the following theorem:

if the following are true:
  • a + a = b
  • not (2 = 0)

then a = b ⋅ (1 / 2)

Proof:

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Given
1 a + a = b
2 not (2 = 0)
Proof Table
# Claim Reason
1 a ⋅ 2 = b if a + a = b, then a ⋅ 2 = b
2 a = b ⋅ (1 / 2) if a ⋅ 2 = b and not (2 = 0), then a = b ⋅ (1 / 2)

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