For distinct monic irreducibles `gᵢ` over a field, `K[X]/(∏ gᵢ) ≃ ∏ K[X]/(gᵢ)` (Chinese remainder), compatibly with `mk`.

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For distinct monic irreducibles `gᵢ` over a field, `K[X]/(∏ gᵢ) ≃ ∏ K[X]/(gᵢ)` (Chinese remainder), compatibly with `mk`. · Prove2Me