future_slot_realised
plain-language theorem explainer
The theorem establishes that the future paradigm shift slot is nonempty by exhibiting the recognition science shift as a witness. Researchers working on the philosophy of science or the Recognition Science framework would cite it to support the claim that a sixth shift completes the lattice. The proof is a direct term construction that applies the single constructor of the future shift inductive type.
Claim. The type of future paradigm shifts is nonempty: there exists a shift witnessed by the recognition science constructor, so that five historical shifts plus one future shift total six.
background
The Paradigm Shift Lattice module asserts that the history of science consists of five completed shifts (Copernican, Newtonian, Einsteinian, Quantum, Biological) plus one reserved future slot. This yields a total of six elements that match the face count of the three-dimensional cube Q_3, consistent with the Recognition Science derivation of spatial dimension three as a fixed point in the forcing chain. The local setting is a structural certification that five historical shifts plus the recognition science shift are isomorphic to the six cube faces.
proof idea
The proof is a one-line term-mode wrapper. It constructs a witness for the nonempty type by directly applying the recognitionScience constructor of the FutureShift inductive definition.
why it matters
This result is used inside the paradigmShiftLatticeCert definition, which assembles historical count, future count, total count, cube-face match, and future realisation into a single certificate. It fills the structural claim in the module documentation that the sixth slot is reserved for the recognition science shift. The declaration connects to the framework landmark deriving three spatial dimensions, where the cube Q_3 supplies exactly six faces as the geometric count for the sequence of paradigm shifts.
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