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Add properties: subobject-trivial and quotient-trivial#149

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ScriptRaccoon merged 2 commits into
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subobject-trivial
May 2, 2026
Merged

Add properties: subobject-trivial and quotient-trivial#149
ScriptRaccoon merged 2 commits into
mainfrom
subobject-trivial

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A category is subobject-trivial if every monomorphisms is an isomorphism. Dually, it is quotient-trivial if every epimorphism is an isomorphism. This is no standard terminology, and the properties are not much interesting in their own right. However, it makes sense to add them since they clarify the relationship between other properties. Also, some manual assignments could be removed. The properties have been decided for all categories (mostly using implications).

@ScriptRaccoon ScriptRaccoon merged commit 2553efc into main May 2, 2026
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@ScriptRaccoon ScriptRaccoon deleted the subobject-trivial branch May 2, 2026 10:43
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