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If an ability would produce one or more mana of an undefined type, it produces no mana instead.

Some abilities produce mana based on the type of mana another permanent or permanents “could produce.” The type of mana a permanent could produce at any time includes any type of mana that an ability of that permanent would produce if the ability were to resolve at that time, taking into account any applicable replacement effects in any possible order. Ignore whether any costs of the ability could or could not be paid. If that permanent wouldn’t produce any mana under these conditions, or no type of mana can be defined this way, there’s no type of mana it could produce.

To “tap [a permanent] for mana” is to activate a mana ability of that permanent that includes the {T} symbol in its activation cost. See rule 605, “Mana Abilities.”

An ability that triggers whenever a permanent “is tapped for mana” or is tapped for mana of a specified type triggers whenever such a mana ability resolves and produces mana or the specified type of mana.

A replacement effect that applies if a permanent “is tapped for mana” or tapped for mana of a specific type and/or amount modifies the mana production event while such an ability is resolving and producing mana or the specified type and/or amount of mana.

If an object’s enters-the-battlefield triggered ability or replacement effect refers to X, and the spell that became that object as it resolved had a value of X chosen for any of its costs, the value of X for that ability is the same as the value of X for that spell, although the value of X for that permanent is 0. This is an exception to rule 107.3i.

The tap symbol is {T}. The tap symbol in an activation cost means “Tap this permanent.” A permanent that’s already tapped can’t be tapped again to pay the cost. A creature’s activated ability with the tap symbol in its activation cost can’t be activated unless the creature has been under its controller’s control continuously since their most recent turn began. See rule 302.6.

The untap symbol is {Q}. The untap symbol in an activation cost means “Untap this permanent.” A permanent that’s already untapped can’t be untapped again to pay the cost. A creature’s activated ability with the untap symbol in its activation cost can’t be activated unless the creature has been under its controller’s control continuously since their most recent turn began. See rule 302.6.

You cast the card before shuffling your library (if it was searched). In some very rare cases, you may need to take actions involving your library while casting the card. For example, if it has an additional cost and you activate Deranged Assistant's ability ("{T}, Put the top card of your library into your graveyard: Add {C}.") to pay for it, you must maintain the order of your library while you search it.

If you cast a card "without paying its mana cost," you can't pay alternative costs such as overload costs. You can pay additional costs such as kicker costs. If the card has mandatory additional costs, you must pay those.

If Aether Searcher leaves the battlefield before its ability resolves, you'll still be able to search for the named card and cast it.

When casting a card this way, ignore timing restrictions based on the card's type. Other timing restrictions, such as "Cast [this spell] only during combat," must be followed.

If Aether Searcher is the last card you draft in any draft round other than the last one, you'll reveal the first card you draft in the following draft round and note its name.

If the card you draft after Aether Searcher is a land card, you won't be able to play that land using Aether Searcher's ability.

If the card has {X} in its mana cost, you must choose 0 as its value.

If an Aether Searcher owned by another player enters the battlefield under your control, you can search for a card you've named while drafting a card named Aether Searcher, not a card named by its owner. Unless you also drafted a card named Aether Searcher, you won't cast a card.

If Aether Searcher is the last card you draft, there won't be a noted name. You can still search your hand and/or library when it enters the battlefield, but you won't cast any card this way unless you also drafted an Aether Searcher and noted a card then.