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FltRegular/NumberTheory/KummersLemma/Field.lean

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@@ -274,7 +274,7 @@ lemma separable_poly (I : Ideal (𝓞 K)) [I.IsMaximal] :
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lemma polyRoot_spec {L : Type*} [Field L] [Algebra K L] (α : L)
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(e : α ^ p = algebraMap K L u) (i) :
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α = (ζ ^ i)⁻¹ • (1 - (ζ - 1) • (polyRoot hp hζ u hcong α e i : L)) := by
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apply smul_right_injective (M := L) (c := ζ ^ i) (pow_ne_zero _ <| hζ.ne_zero
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apply smul_right_injective (M := L) (r := ζ ^ i) (pow_ne_zero _ <| hζ.ne_zero
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(NeZero.pos p).ne.symm)
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simp only [polyRoot, map_sub, map_one, NumberField.RingOfIntegers.map_mk,
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Algebra.smul_def (ζ - 1), ← mul_div_assoc,

lake-manifest.json

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"type": "git",
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"subDir": null,
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"scope": "",
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"rev": "05bb84181739ecc0897184a3e2906241267bcdfd",
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"rev": "cc1a61983e46cf9185c198e96f15542336dc2413",
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"name": "«doc-gen4»",
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"manifestFile": "lake-manifest.json",
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"inputRev": "main",
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"type": "git",
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"subDir": null,
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"scope": "",
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"rev": "15f6691e7a582dab598395c89b04c451f81b8049",
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"rev": "53b324fd0c646e0b2d68cbaae666d40a02d20517",
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"name": "mathlib",
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"manifestFile": "lake-manifest.json",
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"inputRev": null,
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"type": "git",
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"subDir": null,
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"scope": "leanprover-community",
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"rev": "bc7b7f567dacc39ae904b6f12f6aa7f90e48e45f",
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"rev": "5ba0380f2fb45c69448d80429ef6c22bf5973cfa",
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"name": "batteries",
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"manifestFile": "lake-manifest.json",
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"inputRev": "main",

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