hasCoreflexiveEqualizers_of_hasEqualizers

English

If a category C has equalizers, then it has coreflexive equalizers.

Русский

Если категория C имеет равеники, то она имеет ядро-рефлексивные равеники.

LaTeX

$$$\text{HasEqualizers}(C) \Rightarrow \text{HasCoreflexiveEqualizers}(C)$$$

Lean4

/-- If `C` has equalizers, then it has coreflexive equalizers. -/
instance (priority := 100) hasCoreflexiveEqualizers_of_hasEqualizers [HasEqualizers C] : HasCoreflexiveEqualizers C
    where has_eq A B f g _ := by infer_instance

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