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1 parent aca31e3 commit be0fc2cCopy full SHA for be0fc2c
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Mathlib/CategoryTheory/Subobject/Basic.lean
@@ -186,7 +186,8 @@ noncomputable def arrow {X : C} (Y : Subobject X) : (Y : C) ⟶ X :=
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instance arrow_mono {X : C} (Y : Subobject X) : Mono Y.arrow :=
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(representative.obj Y).property
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-def isoFromEq {A : C} {X Y : Subobject A} (h : X = Y) :=
+/-- Equal subobjects induce isomorphic underlying objects. -/
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+def isoFromEq {A : C} {X Y : Subobject A} (h : X = Y) : underlying.obj X ≅ underlying.obj Y :=
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eqToIso (congr_arg (fun X : Subobject A => (X : C)) h)
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@[simp]
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