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NoneTrue
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NoneTrue

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NoneTrue[{e1,e2,…},test]

yields True if test[ei] is False for all of the ei.

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NoneTrue[expr,test,level]

tests parts of expr at level level.

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NoneTrue[test]

represents an operator form of NoneTrue that can be applied to an expression.

Details

  • NoneTrue[list,test] and NoneTrue[expr,test,level] only evaluate as many test[ei] as are necessary to determine the result.
  • NoneTrue[list,test] is equivalent to NoneTrue[list,test,1].
  • NoneTrue[test][list] is equivalent to NoneTrue[list,test].

Examples

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Basic Examples  (4)Summary of the most common use cases

Check if no element of a list satisfies a condition:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-dmyv5c
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0i1rje2lw-r3a7du
Out[2]=2

Check if no element of a matrix satisfies a condition:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-c58isg
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0i1rje2lw-yzzx3s
Out[2]=2

Check if no value of an association satisfies a condition:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-t42758
Out[1]=1

A symbolic result may be returned:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-dnkk96
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0i1rje2lw-qpd3e9
Out[2]=2

Even when the condition applied to some elements is symbolic, a definitive result may be deduced:

In[3]:=3
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https://wolfram.com/xid/0i1rje2lw-q0hl21
Out[3]=3

TrueQ may be used to avoid getting a symbolic result:

In[4]:=4
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https://wolfram.com/xid/0i1rje2lw-j3yroi
Out[4]=4

Scope  (3)Survey of the scope of standard use cases

NoneTrue may be applied to expressions with any head:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-iqxufu
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0i1rje2lw-mu8nl5
Out[2]=2

NoneTrue can operate on ragged expressions:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-dhroyv
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0i1rje2lw-u44zrz
Out[2]=2

By default, NoneTrue always operates at level 1:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-6naob6
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0i1rje2lw-1taj4z
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0i1rje2lw-qdmzlr
Out[3]=3

Properties & Relations  (5)Properties of the function, and connections to other functions

Compose the predicate with TrueQ to make the predicate stronger:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-jcpn6j
Out[1]=1

NoneTrue[list,f] is equivalent to AllTrue[list,Composition[Not,f]]:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-ozauq7
Out[1]=1

NoneTrue[list,f] is equivalent to VectorQ[list,Composition[Not,f]] when f evaluates to True or False:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-fsyin7
Out[1]=1

NoneTrue[list,f] works efficiently on sparse vectors:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-6gci0y
Out[1]=1

NoneTrue[list,test] checks the parts of list in order, stopping as soon as test returns True:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-5dbhwx
Out[1]=1

Possible Issues  (1)Common pitfalls and unexpected behavior

A symbolic result may be returned:

In[1]:=1
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https://wolfram.com/xid/0i1rje2lw-py757m
Out[1]=1
Wolfram Research (2014), NoneTrue, Wolfram Language function, https://reference.wolfram.com/language/ref/NoneTrue.html (updated 2015).
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Wolfram Research (2014), NoneTrue, Wolfram Language function, https://reference.wolfram.com/language/ref/NoneTrue.html (updated 2015).

Text

Wolfram Research (2014), NoneTrue, Wolfram Language function, https://reference.wolfram.com/language/ref/NoneTrue.html (updated 2015).

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Wolfram Research (2014), NoneTrue, Wolfram Language function, https://reference.wolfram.com/language/ref/NoneTrue.html (updated 2015).

CMS

Wolfram Language. 2014. "NoneTrue." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/NoneTrue.html.

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Wolfram Language. 2014. "NoneTrue." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/NoneTrue.html.

APA

Wolfram Language. (2014). NoneTrue. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NoneTrue.html

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Wolfram Language. (2014). NoneTrue. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/NoneTrue.html

BibTeX

@misc{reference.wolfram_2025_nonetrue, author="Wolfram Research", title="{NoneTrue}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/NoneTrue.html}", note=[Accessed: 22-April-2025 ]}

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@misc{reference.wolfram_2025_nonetrue, author="Wolfram Research", title="{NoneTrue}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/NoneTrue.html}", note=[Accessed: 22-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_nonetrue, organization={Wolfram Research}, title={NoneTrue}, year={2015}, url={https://reference.wolfram.com/language/ref/NoneTrue.html}, note=[Accessed: 22-April-2025 ]}

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@online{reference.wolfram_2025_nonetrue, organization={Wolfram Research}, title={NoneTrue}, year={2015}, url={https://reference.wolfram.com/language/ref/NoneTrue.html}, note=[Accessed: 22-April-2025 ]}