How Many Elements Are in the Intersection of Two Sets with No Common Elements?

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How many elements are in a sub1 intersect a sub 2 which equals a null set

when a sub 1 =12 and a sub2 = 18
 
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what ...is it sub1 INTERSECT (sub2=null set)?
 

Thread 'Deductive proof in logic formal systems'

I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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