Proof: Divide Numerators 2

Let's prove the following theorem:

if the following are true:
  • a / c = b / c
  • not (c = 0)

then b = a

Proof:

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

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