Transitive Property of Equality Variation 1
Add Associative 2
Transitive Property of Equality Variation 2
Rearrange Sum
Subtract Both Sides
Add Term to Both Sides 6
Reorder Terms 4

Proof: Rearrange Sum

Let's prove the following theorem:

if (a + b) + c = d, then (a + c) + b = d

Proof:

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