Invert // Invent

• WWizards of the Coast2018-10-05
  Official Ruling
  If you chose two targets, Invert switches the power and toughness of one creature and it switches the power and toughness of another creature. It doesn't switch one creature's power with another creature's power.
• WWizards of the Coast2018-10-05
  Official Ruling
  While resolving Invent, you could put no cards, an instant card, a sorcery card, or an instant card and a sorcery card into your hand.
• WWizards of the Coast2021-03-19
  Official Ruling
  Switching a creature's power and toughness twice (or any even number of times) effectively returns the creature to the power and toughness it had before any switches.
• WWizards of the Coast2021-03-19
  Official Ruling
  Effects that switch a creature's power and toughness apply after all other effects, regardless of when those effects began to apply. For instance, if you target a 1/2 creature then give it +2/+0 later in the turn, it's a 2/3 creature, not a 4/1 creature.
• WWizards of the Coast2021-03-19
  Official Ruling
  Because damage remains marked on a creature until the damage is removed as the turn ends, nonlethal damage dealt to a creature may become lethal if you switch its power and toughness during that turn.
• WWizards of the Coast2022-12-08
  Official Ruling
  To cast a split card, choose one of its halves to cast. There's no way to cast both halves of this split card.
• WWizards of the Coast2022-12-08
  Official Ruling
  If an effect allows you to cast a spell with certain characteristics, consider only the characteristics of the half you're casting. For example, if an effect allows you to cast a sorcery spell with mana value 2 or less from among cards in your graveyard, you could cast Assault this way, but not Battery.
• WWizards of the Coast2022-12-08
  Official Ruling
  Each split card is a single card. For example, if you discard a split card, you've discarded one card, not two. If an effect counts the number of sorcery cards in your graveyard, Assault // Battery counts once, not twice.
• WWizards of the Coast2022-12-08
  Official Ruling
  Split cards have two card faces on a single card. The characteristics of the half you didn't cast are ignored while the spell is on the stack.
• WWizards of the Coast2022-12-08
  Official Ruling
  If you copy a spell that's half of a split card, the copy copies that same half. For example, if you copy Assault, the copy is also Assault, not Battery.
• WWizards of the Coast2022-12-08
  Official Ruling
  A split card's characteristics are a combination of its two halves while it is not on the stack. For example, Assault // Battery has a mana value of 5 while it is in your library. If an effect allows you to search your library for a card with mana value 4 or less, you can't find Assault // Battery.
• WWizards of the Coast2022-12-08
  Official Ruling
  Each split card has two names. If an effect instructs you to choose a card name, you may choose one of those names, but not both.

Rulings via Scryfall