How to understand い adjective + ある？ What is ある doing here

Question

強いもなにもあるもんか

From this panel:

I originally read this phrase as meaning something like "There's no way you are strong or anything at all!" but then I noticed that there is ある in the phrase and now it is bothering me, what grammatical purpose is it doing here when 強い is an い adjective?

I know that 強いもなにも　is the 〜も何も construction that is discussed here, is using 強い as an "example" of what quality the grandfather believes he doesn't have. and i know that もんか asserts disbelief in this case as explained here, so he's saying that he doesn't believe the kid is strong at all. But why would it take ある？

Unless I'm overthinking it here and the ある is actually just attaching to なにも, so that it becomes a sort of compound phrase combining the two phrases:

強いもんか There's no way you are strong!

なにもあるもんか There's no way you have anything!

Answer 1

The most generic form is AもBもない, which is a way to say "It's not a matter of A or B" or "It's not even worth discussing whether it's A or B". A and B are nouns or the dictionary forms(*) of adjectives/verbs. The B part can often be なに ("(or) other", "(or) something"). ない can be replaced by other emphatic negative expressions including ありはしない, あるか(よ), あるもんか, あったものではない and あるわけがない. Sometimes the ない part is completely omitted because AもBも can work as a negative polarity item.

^{* Strictly speaking, it may be attributive form.}

• いいも悪いもない。
  It's not a matter of good or bad. (It's not even worth mentioning.)
  (Compare: 良くも悪くもない。 It's mediocre.)
• 好きも嫌いもない。
  It's not a matter of whether I like him or not. (I'm not even interested. / I don't even know him.)
  (Compare: 好きでも嫌いでもない。 I don't like him nor hate him in particular.)
• 悲しいも何もなかった。
  I was so shocked that I didn't feel sad.
  (Compare: 悲しくも何ともなかった。 I didn't feel sad or anything whatsoever.)
• 傑作も何もあったものではない。
  It's nowhere near a masterpiece.
• ゾンビを殺すも殺さないもあるか。ゾンビはもともと死んでいるんだ。
• どうもこうもあるもんか。／どうもこうも。
  It's out of the question! It's indescribably bad! [or] We have no choice!
• 見るも何も…。／見たいも何も…。 (as a reply for "Wanna watch that movie?" when you do not even know the movie)

In the manga in question, the man said it was not even worth discussing whether the boy was strong because he seemed to be a true beginner.

See Also:

• What does「〜も何も」mean in this context?
• Looking for an explanation of the usage "あったものじゃない”
• Meaning of もクソも in 何かもクソも寝るだけだよ (何もない can be replaced by クソもない, ヘチマもない or へったくれもない)