Multiplicative Property of Equality Variation 1
Distributive Property 4
Distribute Half
Multiplicative Property of Equality Variation 2
Transitive Property of Equality Variation 3
Division is Commutative
Commutative Property Example 2
Substitution 2
Substitution 8
Substitution Example 10
Half Half One

Proof: Substitution 2

Let's prove the following theorem:

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

then a = b + d

Proof:

View as a tree | View dependent proofs | Try proving it

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