If-it-does-however-it-is-unique-in-a-strong-se -- Multiple sentences match

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If it does, however, it is unique in a strong sense: given any other inverse limit X ′ there exists a unique isomorphism X ′ → X commuting with the projection maps.

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If it does, however, it is unique in a strong sense: given another direct limit X ′ there exists a unique isomorphism X ′ → X commuting with the canonical morphisms.

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