Fight On, and Don't Look Back!

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CONFIRMED: Upon seeing every Pokemon in the Kalos pokedex, Prof. Sycamore will bestow upon you this charm, which increases the chance that eggs are produced at the day care. (This excludes the three legendary birds; I did not have Zapdos at the time. Not sure if you need Mewtwo or Zygarde but I had them)
Thanks to my friends who helped me confirm if this was true or not!

CONFIRMED: Upon seeing every Pokemon in the Kalos pokedex, Prof. Sycamore will bestow upon you this charm, which increases the chance that eggs are produced at the day care. (This excludes the three legendary birds; I did not have Zapdos at the time. Not sure if you need Mewtwo or Zygarde but I had them)

Thanks to my friends who helped me confirm if this was true or not!