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It is well known that the infix operator @@ is used as a short form of Apply.

For example, both Apply[f,{a,b,c}] and f@@{a,b,c} return f[a,b,c]}

Also the infix operator @@@ is used as a short form of Apply when it is used for levelspec {1}

For example, both Apply[f,{{a,b},{c,d}},{1}] and f@@@{{a,b},{c,d}} return {f[a,b],f[c,d]}

I would like to create a new infix operator named @@@@ (or other) to express Apply[f,expr,{2}] in a short form like f @@@@ expr.

Is it possible to create a new infix operator equivalent to some more verbose command ? Also which are the valid names I could use ?

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