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kind of finish \Delta of d times lemma
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@ -199,7 +199,9 @@ lemma foofoo (d : ℕ) : (f : ℤ → ℤ) → (PolyType f d) → (PolyType (Δ
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have this1 : PolyType f (d + 1) := by tauto
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have this2 : PolyType (Δ f (d + 1)) 0 := by
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have this3 : PolyType (Δ f 1) d := by
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sorry
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have this4 : d + 1 > 0 := by positivity
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have this5 : (d + 1) > 0 → PolyType f (d + 1) → PolyType (Δ f 1) d := Δ_1 f (d + 1)
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exact this5 this4 this1
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clear hf
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specialize hd (Δ f 1)
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have this4 : PolyType (Δ (Δ f 1) d) 0 := by tauto
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