Multiplicative Property of Equality Variation 1
Apply Associative Multiply
Multiply by 1
Transitive Property of Inequality 4 Pre
Transitive Property of Inequality 4
Inequality 1
Transitive Property of Inequality 3 Pre
Transitive Property of Inequality 3
Inequality 2
Double Inequality 1
Double Inequality 2
Inequality Problem 3

Proof: Transitive Property of Inequality 3

Let's prove the following theorem:

if the following are true:
  • a > b
  • b = c

then a > c

Proof:

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

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