Multiplicative Property of Equality Variation 1
Transitive Property of Equality Variation 2
Transitive With Four
Algebra One

Proof: Transitive With Four

Let's prove the following theorem:

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

then d = c

Proof:

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