Brachylog, 9 bytes

{⊇m=∧?t}l

Try it online!

Note that this not only works with a list of integers, but also with a list of strings or a list of lists.

###Explanation

{ }l Left fold on the input:
 ⊇m= It is possible to find a number which is a subset of both input numbers
 ∧ (and)
 ?t The output is the second number (to continue the fold)

Brachylog, 9 bytes

{⊇m=∧?t}l

Try it online!

Note that this not only works with a list of integers, but also with a list of strings or a list of lists.

Explanation

{ }l Left fold on the input:
 ⊇m= It is possible to find a number which is a subset of both input numbers
 ∧ (and)
 ?t The output is the second number (to continue the fold)

Brachylog, 9 bytes

{⊇m=∧?t}l

Try it online!

###Explanation

{ }l Left fold on the input:
 ⊇m= It is possible to find a number which is a subset of both input numbers
 ∧ (and)
 ?t The output is the second number (to continue the fold)

Brachylog, 9 bytes

{⊇m=∧?t}l

Try it online!

Note that this not only works with a list of integers, but also with a list of strings or a list of lists.

###Explanation

{ }l Left fold on the input:
 ⊇m= It is possible to find a number which is a subset of both input numbers
 ∧ (and)
 ?t The output is the second number (to continue the fold)