Distributive Property 2
Commutative Property Variation 1
Substitution 2
Substitution 6
Distributive Property 3
Multiplicative Property of Equality Variation 1
Associative Property of Multiplication 2
Transitive Property of Equality Variation 2
Transitive Property Application 2
Substitution 10
Subtraction Example
Distribute Subtract
Add Term to Both Sides 2
Commutative Property Example 2
Add Term to Both Sides 3
Transitive Property of Equality Variation 1
Subtract From Both Sides
Substitute
Subtract Substitute
Substitute 11
Distribute Subtract2

Proof: Substitute

Let's prove the following theorem:

if the following are true:
  • a = b
  • f = b - c

then f = a - c

Proof:

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

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