Proof: Addition Substitution

Let's prove the following theorem:

if the following are true:
  • a = x
  • b = y
  • c = z
  • z = x + y

then c = a + b

Proof:

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

Given
1 a = x
2 b = y
3 c = z
4 z = x + y
Proof Table
# Claim Reason
1 a + b = x + y if a = x and b = y, then a + b = x + y
2 c = x + y if c = z and z = x + y, then c = x + y
3 c = a + b if c = x + y and a + b = x + y, then c = a + b

Comments

Please log in to add comments