Evaluate the logical coherence between the following legislative examples and constitutional doctrines:
1. Evidence 1: A constitutional framework ensures the total absence of any aristocratic or special privileges for any citizen. Inference 1: This legal state perfectly embodies the doctrine of 'Equal Protection of Law'.
2. Evidence 2: A state mandates identical legal liabilities for two corporate entities operating under identical market conditions. Inference 2: This legislation accurately reflects the concept of 'Equal Protection of Law'.
3. Evidence 3: A progressive income tax system taxes billionaires at a higher percentage than citizens living below the poverty line. Inference 3: This system violates the doctrine of 'Equal Protection of Law' by treating people differently.