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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.

Multiple card draws are always treated as a sequence of individual card draws. For example, if you haven't drawn any cards yet during a turn and cast a spell that instructs you to draw three cards, you'll draw them one at a time. Only the first card drawn this way may be revealed and cast using its miracle ability.

If an effect puts a card into your hand without using the word "draw," the card wasn't drawn.

You don't have to reveal a drawn card with miracle if you don't wish to cast it at that time.

You cast the card with miracle during the resolution of the triggered ability. Ignore any timing rules based on the card's type.

If the card with miracle leaves your hand before the triggered ability resolves, you won't be able to cast it using its miracle ability.

To determine the total cost of a spell, start with the mana cost or alternative cost (such as a miracle cost) you're paying, add any cost increases, then apply any cost reductions. The mana value of the spell remains unchanged, no matter what the total cost to cast it was.

You still draw the card, whether you use the miracle ability or not. Any ability that triggers whenever you draw a card, for example, will trigger. If you don't cast the card using its miracle ability, it will remain in your hand.

Miracle is an alternative cost to cast the spell with miracle. It can't be combined with other alternative costs, such as casting a spell "without paying its mana cost."

It's important to reveal a card with miracle before it is mixed with the other cards in your hand.

You can cast a card for its miracle cost only as the miracle triggered ability resolves. If you don't want to cast it at that time (or you can't cast it, perhaps because there are no legal targets available), you won't be able to cast it later for the miracle cost.

You can reveal and cast a card with miracle on any turn, not just your own, if it's the first card you've drawn that turn.

If you have fewer than six cards in your library or if Triumph of Saint Katherine isn't in your graveyard as the triggered ability resolves, no cards will be exiled and the ability will do nothing.