Distributive Property 2
Equality Example
Distributive Property 3
Associative Property of Multiplication 2
Transitive Property Application 1
Substitution 10
Subtraction Example
Distribute Subtract
Subtract From Both Sides
Substitute
Subtract Substitute
Substitute 11
Transitive Property of Equality Variation 2
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 b - c = a - c and f = b - c, then f = a - c
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