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Divide into possible cases and prove each separately.
If A → C and B → C, then (A ∨ B) → CGuidance comes from: human reason, nature, or revelation. Only revelation suffices.
(Reason ∨ Nature ∨ Revelation) ∧ ¬Sufficient(Reason) ∧ ¬Sufficient(Nature) → Sufficient(Revelation)Case 1: Human reason alone — limited by individual capacity, corrupted by bias, contradicted by other humans (philosophers disagree on everything). Case 2: Nature alone — silent on morality, ambiguous on purpose, cannot teach us about the afterlife. Case 3: Divine revelation — comprehensive (addresses all questions), consistent (no contradictions), authoritative (from the All-Knowing). Only revelation provides sufficient guidance.
This is proof by cases: we enumerate all possible sources of guidance, show that reason and nature are insufficient by themselves, and conclude that divine revelation is necessary for complete guidance.
This proof demonstrates the logical foundations of Islamic beliefs through rigorous philosophical methodology.