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Mathlib/Data/List/FinRange.lean

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@@ -25,27 +25,22 @@ namespace List
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variable {α : Type u}
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@[simp]
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theorem finRange_eq_nil {n : ℕ} : finRange n = [] ↔ n = 0 := by
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rw [← length_eq_zero_iff, length_finRange]
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@[simp]
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lemma count_finRange {n : ℕ} (a : Fin n) : count a (finRange n) = 1 := by
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simp [List.Nodup.count (nodup_finRange n)]
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@[simp]
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theorem finRange_map_get (l : List α) : (finRange l.length).map l.get = l :=
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List.ext_get (by simp) (by simp)
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@[simp]
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theorem finRange_map_getElem (l : List α) : (finRange l.length).map (l[·.1]) = l :=
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finRange_map_get l
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@[simp] theorem idxOf_finRange {k : ℕ} (i : Fin k) : (finRange k).idxOf i = i := by
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simpa using (nodup_finRange k).idxOf_getElem i
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@[simp]
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theorem map_coe_finRange (n : ℕ) : ((finRange n) : List (Fin n)).map (Fin.val) = List.range n := by
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apply List.ext_getElem <;> simp
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