Mirage and Phantom

Mirage

Mirage noun - An optical illusion in which atmospheric refraction by a layer of hot air distorts or inverts reflections of distant objects.

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Phantom and mirage are semantically related In some cases you can use "Phantom" instead a noun "Mirage".

Phantom noun - The soul of a dead person thought of especially as appearing to living people.

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Mirage and phantom are semantically related in ghost topic. You can use "Mirage" instead a noun "Phantom", if it concerns topics such as figment of the imagination.

Yuri is just a "container", Phantom and Mirage are opposite personalities and Feather is an unknown interloper.

Source: Manga / Zettai Karen Children
There are two characters in Zettai Karen Children who suffer from split personalities: Sera (due to possession) and Phantom Daughter AKA Mirage AKA Yuri / The Doll, Featheris initially mistaken for one but was actually a different person or something.

Source: Split Personality
The Cures transform the Axia Box into the Shining Make Dresser, and Blue reveals his past with Mirage...but the real twist is that Deep Mirror is controlling the Phantom Empire like puppets.] Episode 37.

Source: Anime / Happiness Charge Pretty Cure