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Mathlib/Topology/Sets/Closeds.lean
@@ -72,7 +72,7 @@ theorem mem_closure {s : Set α} {x : α} : x ∈ Closeds.closure s ↔ x ∈ cl
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theorem gc : GaloisConnection Closeds.closure ((↑) : Closeds α → Set α) := fun _ U =>
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⟨subset_closure.trans, fun h => closure_minimal h U.isClosed⟩
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-/-- The galois coinsertion between sets and opens. -/
+/-- The galois insertion between sets and closeds. -/
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def gi : GaloisInsertion (@Closeds.closure α _) (↑) where
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choice s hs := ⟨s, closure_eq_iff_isClosed.1 <| hs.antisymm subset_closure⟩
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gc := gc
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