Evaluate the logical coherence between the following constitutional mechanisms and their inferences:
1. Evidence 1: Article 13 authorizes the Supreme Court to invalidate statutes enacted by the Parliament that violate Fundamental Rights. Inference 1: This constitutional provision is a direct manifestation of the checks and balances system.
2. Evidence 2: The Indian political structure distributes distinct authorities between the Central government and State municipalities. Inference 2: This structural arrangement exemplifies the rigid separation of powers doctrine.
3. Evidence 3: A single political entity secures an overwhelming majority in both the executive cabinet and the legislative houses. Inference 3: This political reality mathematically strengthens the operational efficacy of checks and balances.