Equality Example

Transitive Property of Equality Variation 1

Divide Both Sides

Multiply Substitute Two Terms

Multiply Substitute Two Terms 2

Zero Plus a

Transitive Property of Equality Variation 2

Multiplicative Property of Equality Variation 2

Transitive Property of Equality Variation 3

Division is Commutative

Associative Property

Multiplicative Property of Equality Variation 1

Simplify

Transitive

Distributive Property 2

Commutative Property Variation 1

Substitution 2

Substitution 6

Distributive Property 3

Associative Property of Multiplication 2

Transitive Property Application 2

Substitution 10

Substitution 12

Divide Simplify 2

Simplify 2

Simplify 3

Transitive 2

Subtract Same Sides

Divide Both

Divide Substitute 2

Divide Substitute 4

Slope 1

Subtract Zero Example

Subtraction Example

Subtract to Zero

Example 2

Subtract Associative

Subtract 1

Divide Zero 2

Substitute Two Terms

Subtract Zero Example 2

Transitive Subtract 3

Substitution 13

Midsegment Triangle 2

Proof: Transitive Subtract 3

Let's prove the following theorem:

if f = (a + b) - b, then f = a

Proof:

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

Given

1	f = (a + b) - b

Proof Table

#	Claim	Reason
1	(a + b) - b = a	(a + b) - b = a (subtract_1)
2	f = a	if f = (a + b) - b and (a + b) - b = a, then f = a (Transitive Property of Equality)

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