I remember getting an Eevee with the Anticipation ability... If I evolve this Eevee into Vaporeon, will it's ability be Hydration as they're both hidden abilities?
Yes, it will
Source: http://pokemondb.net/pokebase/101881/have-evee-with-ability-anticipation-what-should-evolve-into
Yes, if it has a hidden ability and it evolves it will keep that Hidden ability
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