absoluteFloorClosureCert

AbsoluteFloorClosureCert is the joint closure certificate whose three fields are routeA (a SelfBootstrapCert), routeB (the equivalence between distinguishability and non-trivial specifiability), and bool_witness (an AbsoluteFloorWitness on Bool). The module states that the closure is modest: distinguishability is equivalent to non-trivial specifiability on an inhabited carrier, and the meta-language already distinguishes propositions, so the remaining floor is only the precondition of a non-singleton universe of discourse. Upstream, selfBootstrapCert supplies the meta-language distinguishability of propositions together with the claim that a proposition does not coincide with its negation. The theorem distinguishability_iff_nontrivial_specifiability states that, on any inhabited $K$, the existence of distinct elements is equivalent to the existence of a non-trivial specification. bool_absolute_floor shows that Bool itself realizes the absolute floor via the bare distinguishability of false and true.

The term proof constructs the AbsoluteFloorClosureCert structure by direct field assignment: routeA receives the selfBootstrapCert theorem, routeB receives the lambda that applies distinguishability_iff_nontrivial_specifiability to any inhabited carrier, and bool_witness receives the bool_absolute_floor theorem.

This declaration closes the absolute-floor program by reducing it to meta-language proposition distinguishability plus a non-singleton universe, as described in the module doc-comment. It supplies the base layer for the forcing chain (T0-T8) by confirming that the floor is not an RS-specific physical postulate. No downstream uses are recorded, indicating it functions as a terminal foundation certificate rather than an intermediate lemma.