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Wolfram Language & System Documentation Center
ContainsNone
  • See Also
    • ContainsAll
    • ContainsAny
    • ContainsOnly
    • ContainsExactly
    • DisjointQ
    • MemberQ
    • FreeQ
    • Complement
    • Intersection
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    • Operations on Sets
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      • ContainsAll
      • ContainsAny
      • ContainsOnly
      • ContainsExactly
      • DisjointQ
      • MemberQ
      • FreeQ
      • Complement
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    • Related Guides
      • List Manipulation
      • Operations on Sets
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ContainsNone[list1,list2]

yields True if list1 contains none of the elements in list2.

ContainsNone[list2]

is an operator form that yields True when the object to which it is applied contains none of the elements of list2.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Options  
SameTest  
Applications  
Properties & Relations  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • ContainsAll
    • ContainsAny
    • ContainsOnly
    • ContainsExactly
    • DisjointQ
    • MemberQ
    • FreeQ
    • Complement
    • Intersection
  • Related Guides
    • List Manipulation
    • Operations on Sets
    • Testing Expressions
    • Knowledge Representation & Access
    • See Also
      • ContainsAll
      • ContainsAny
      • ContainsOnly
      • ContainsExactly
      • DisjointQ
      • MemberQ
      • FreeQ
      • Complement
      • Intersection
    • Related Guides
      • List Manipulation
      • Operations on Sets
      • Testing Expressions
      • Knowledge Representation & Access

ContainsNone

ContainsNone[list1,list2]

yields True if list1 contains none of the elements in list2.

ContainsNone[list2]

is an operator form that yields True when the object to which it is applied contains none of the elements of list2.

Details and Options

  • In ContainsNone[list1,list2], the listi must be lists of expressions, or representations of them, namely objects with heads like SparseArray, QuantityArray, Association or EntityClass.
  • ContainsNone[list1,list2,SameTesttest] applies test to each pair of elements in the listi to determine whether they should be considered the same.
  • ContainsNone[list2][list1] is equivalent to ContainsNone[list1,list2].

Examples

open all close all

Basic Examples  (2)

The first list contains none of the elements of the second list:

The first list contains elements of the second list:

Scope  (5)

There are English words containing none of the five vowels:

Use ContainsNone in operator form:

Select music works:

Find the movies directed by Pedro Almodóvar whose cast includes none of several actors:

ContainsNone works with associations:

Options  (2)

SameTest  (2)

By default, ContainsNone considers elements to be the same if they are identical:

Changes of units are taken into account, as long as they represent the exact same quantity:

Numerical approximations are not considered as the same object:

Use Equal as the comparison function to have numerical tolerance:

String comparisons are case sensitive by default:

Convert to lower case before comparing:

Applications  (2)

Take the list of words in this text:

That list of words does not contain any of these:

However, that is not true if "rabbit" is added:

A lipogram is a text that does not use a given letter:

Find the longest English word that does not contain the letter e:

Properties & Relations  (5)

ContainsNone[list1,list2] is equivalent to testing for empty intersection of the lists:

ContainsNone[list1,list2] is equivalent to DisjointQ[list1,list2]:

ContainsNone is a symmetric function of its arguments. That is, ContainsNone[list1,list2]==ContainsNone[list2,list1]:

Negation of ContainsNone[list1,list2] is equivalent to ContainsAny[list1,list2]:

ContainsNone[list,{}] always returns True:

See Also

ContainsAll  ContainsAny  ContainsOnly  ContainsExactly  DisjointQ  MemberQ  FreeQ  Complement  Intersection

Related Guides

    ▪
  • List Manipulation
  • ▪
  • Operations on Sets
  • ▪
  • Testing Expressions
  • ▪
  • Knowledge Representation & Access

History

Introduced in 2015 (10.2)

Wolfram Research (2015), ContainsNone, Wolfram Language function, https://reference.wolfram.com/language/ref/ContainsNone.html.

Text

Wolfram Research (2015), ContainsNone, Wolfram Language function, https://reference.wolfram.com/language/ref/ContainsNone.html.

CMS

Wolfram Language. 2015. "ContainsNone." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ContainsNone.html.

APA

Wolfram Language. (2015). ContainsNone. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ContainsNone.html

BibTeX

@misc{reference.wolfram_2025_containsnone, author="Wolfram Research", title="{ContainsNone}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/ContainsNone.html}", note=[Accessed: 04-February-2026]}

BibLaTeX

@online{reference.wolfram_2025_containsnone, organization={Wolfram Research}, title={ContainsNone}, year={2015}, url={https://reference.wolfram.com/language/ref/ContainsNone.html}, note=[Accessed: 04-February-2026]}

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