Provide a detailed theoretical analysis of Nick Bostrom's Simulation Argument. Break down the trilemma into its three core propositions: (1) The fraction of human-level civilizations that reach a post-human stage is close to zero, (2) The fraction of post-human civilizations that are interested in running ancestor-simulations is close to zero, or (3) The fraction of all observers with human-type experiences that live in a simulation is close to one. Argue the implications of each proposition being true or false.