The emitted Baby Bear field kernels

Registers the proven field realizations (bbFieldMul_eq / bbFieldAdd_eq, the emitted Baby Bear kernels) into the repr set, in the transfer direction (abstract */+ → emitted bbFieldMul/bbFieldAdd). After this import, repr_transfer auto-derives the emitted-kernel form of any Baby Bear field expression — the registry-driven replacement for hand-written field-layer connections (sum-check / Spartan / Lasso / STARK / Jolt / Fiat-Shamir all share this field).

theorem Transfer.mul_repr (a b : ExampleField.F) : a * b = ExampleField.bbFieldMul a b

Registry entry: Baby Bear field multiply is the emitted bbFieldMul kernel.

theorem Transfer.add_repr (a b : ExampleField.F) : a + b = ExampleField.bbFieldAdd a b

Registry entry: Baby Bear field add is the emitted bbFieldAdd kernel.