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kind of finish \Delta of d times lemma

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chelseaandmadrid 2023-06-15 20:43:52 -07:00
parent a3c376de01
commit 01f628cf98
1 changed files with 3 additions and 1 deletions
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CommAlg/final_poly_type.lean
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@ -199,7 +199,9 @@ lemma foofoo (d : ℕ) : (f : ℤ → ℤ) → (PolyType f d) → (PolyType (Δ
have this1 : PolyType f (d + 1) := by tauto have this1 : PolyType f (d + 1) := by tauto
have this2 : PolyType (Δ f (d + 1)) 0 := by have this2 : PolyType (Δ f (d + 1)) 0 := by
have this3 : PolyType (Δ f 1) d := by have this3 : PolyType (Δ f 1) d := by
sorry have this4 : d + 1 > 0 := by positivity
have this5 : (d + 1) > 0 → PolyType f (d + 1) → PolyType (Δ f 1) d := Δ_1 f (d + 1)
exact this5 this4 this1
clear hf clear hf
specialize hd (Δ f 1) specialize hd (Δ f 1)
have this4 : PolyType (Δ (Δ f 1) d) 0 := by tauto have this4 : PolyType (Δ (Δ f 1) d) 0 := by tauto