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ContainsAll
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ContainsAll

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ContainsAll[list1,list2]

yields True if list1 contains all of the elements of list2.

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ContainsAll[list2]

is an operator form that yields True when the object to which it is applied contains all of the elements of list2.

Details and Options

Examples

open allclose all

Basic Examples  (2)Summary of the most common use cases

The first list contains all elements of the second list:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-q4vuh1
Out[1]=1

The first list does not contain all elements of the second list:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-nrhuc4
Out[1]=1

Scope  (4)Survey of the scope of standard use cases

The English word facetious contains all five vowels:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-3nq2i7
Out[1]=1

Use ContainsAll in operator form:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-x9e6py
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b8cmi3k0k-zib13t
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0b8cmi3k0k-24q7zq
Out[3]=3

Find the movies whose cast contains both Angelina Jolie and Brad Pitt:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-c9ctfn
Out[1]=1

ContainsAll works with associations:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-swyq31
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b8cmi3k0k-dktprb
Out[2]=2

Options  (2)Common values & functionality for each option

SameTest  (2)

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

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-va3try
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b8cmi3k0k-m67or7
Out[2]=2

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

In[3]:=3
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https://wolfram.com/xid/0b8cmi3k0k-jtl0vb
Out[3]=3

Numerical approximations are not considered as the same object:

In[4]:=4
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https://wolfram.com/xid/0b8cmi3k0k-t34h5h
Out[4]=4

Use Equal as the comparison function to have numerical tolerance:

In[5]:=5
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https://wolfram.com/xid/0b8cmi3k0k-gz6vvk
Out[5]=5

String comparisons are case sensitive by default:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-1pybm9
Out[1]=1

Convert to lower case before comparing:

In[2]:=2
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https://wolfram.com/xid/0b8cmi3k0k-3b2q37
Out[2]=2

Applications  (4)Sample problems that can be solved with this function

Randomly find 10 English words containing all five vowels:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-hi6z71
Out[1]=1

Find the shortest French word containing all five vowels:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-ga3kg9
Out[1]=1

Take the first character of each word of a text:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-vq29ss
Out[1]=1

It does not contain words starting with all letters of the alphabet:

In[2]:=2
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https://wolfram.com/xid/0b8cmi3k0k-4qg1r6
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0b8cmi3k0k-oah1fa
Out[3]=3

This larger text does contain words starting with all letters of the alphabet:

In[4]:=4
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https://wolfram.com/xid/0b8cmi3k0k-vq4pri
Out[4]=4
In[5]:=5
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https://wolfram.com/xid/0b8cmi3k0k-e4gyzg
Out[5]=5

All of them do not appear as capital first letters in the text:

In[6]:=6
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https://wolfram.com/xid/0b8cmi3k0k-s8j5kl
Out[6]=6

A pangrammatic lipogram is a text that uses all letters of the alphabet except one:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-d69o0v
In[2]:=2
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https://wolfram.com/xid/0b8cmi3k0k-57u7r4
Out[2]=2

Properties & Relations  (3)Properties of the function, and connections to other functions

ContainsAll[list1,list2] is equivalent to SubsetQ[list1,list2]:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-y6exib
In[2]:=2
✖
https://wolfram.com/xid/0b8cmi3k0k-xyoj5b
In[3]:=3
✖
https://wolfram.com/xid/0b8cmi3k0k-2gp42t
Out[3]=3

Reversing the arguments of ContainsAll is equivalent to using ContainsOnly:

In[1]:=1
✖
https://wolfram.com/xid/0b8cmi3k0k-2upf1i
In[2]:=2
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https://wolfram.com/xid/0b8cmi3k0k-py8oi3
In[3]:=3
✖
https://wolfram.com/xid/0b8cmi3k0k-ehhrdi
Out[3]=3

ContainsAll[list,{}] always returns True:

In[1]:=1
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https://wolfram.com/xid/0b8cmi3k0k-2qq8ei
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b8cmi3k0k-dsy59k
Out[2]=2
Wolfram Research (2015), ContainsAll, Wolfram Language function, https://reference.wolfram.com/language/ref/ContainsAll.html.
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Wolfram Research (2015), ContainsAll, Wolfram Language function, https://reference.wolfram.com/language/ref/ContainsAll.html.

Text

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

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

CMS

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

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

APA

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

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

BibTeX

@misc{reference.wolfram_2025_containsall, author="Wolfram Research", title="{ContainsAll}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/ContainsAll.html}", note=[Accessed: 20-June-2025 ]}

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@misc{reference.wolfram_2025_containsall, author="Wolfram Research", title="{ContainsAll}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/ContainsAll.html}", note=[Accessed: 20-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_containsall, organization={Wolfram Research}, title={ContainsAll}, year={2015}, url={https://reference.wolfram.com/language/ref/ContainsAll.html}, note=[Accessed: 20-June-2025 ]}

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@online{reference.wolfram_2025_containsall, organization={Wolfram Research}, title={ContainsAll}, year={2015}, url={https://reference.wolfram.com/language/ref/ContainsAll.html}, note=[Accessed: 20-June-2025 ]}