P2 illicitly slides from 'at least one isomorphism is A-preserving' to 'an A-preserving isomorphism exists whenever a B-preserving one does,' conflating existential and universal quantification over isomorphisms.

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A-preserving / B-preserving(in logic and mathematical structures): Describing a match (isomorphism) that keeps certain important features or properties intact—like a translation that preserves the meaning of the original text, or a map that preserves accurate distances.
Conflating: Conflating means mixing together or treating two different things as if they were the same thing, when they're actually distinct. It's a logical error where someone blurs important differences between concepts, ideas, or situations to make an argument seem stronger than it is. For example, conflating "being critical of a policy" with "being disloyal to your country" wrongly equates two separate things.
Existential quantification(in formal logic): A logical claim that says 'at least one thing has this property'—like saying 'someone in this room speaks French' rather than 'everyone in this room speaks French.'
Illicitly slides / illicit(in philosophical arguments): Illegitimately or improperly sneaks from one claim to another without proper justification—like concluding 'all cats are animals, so all animals are cats,' which is an invalid move in logic.
Universal quantification(as used in logic): A logical statement that claims something is true for ALL cases, without exception.
isomorphism(The strongest structural correspondence between two many-sorted structures.): An embedding between structures in which all defining maps are bijections.

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