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File:Lobao.jpg In mathematical logic, Löb's theorem states that in Peano arithmetic (PA) (or any formal system including PA), for any formula P, if it is provable in PA that "if P is provable in PA then P is true", then P is provable in PA. More formally, if Prov(P) means that the formula P is provable, then

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{\displaystyle \mathrm {if} \ PA\vdash ({\rm {Prov}}(P)\rightarrow P)\mathrm {,then} \ PA\vdash P,} or

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. from Wikipedia {| |+ |- ! Icon !! Service !! Username !! {{Twt|lobaoeletrico}} {{Wb|http://www.lobao.com.br/|lobao.com.br}} {{Ins|lobaow}} {{Yt|UCv-NWLLs-sKmgCoMwZuJPtw|Lobão}} |}

VHID:54769370507 {{#subtitle: Brazilian musician}}

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{{DISPLAYTITLE:Lobão}}[[File:Lobao.jpg|frameless|right]]
In mathematical logic, Löb's theorem states that in Peano arithmetic (PA) (or any formal system including PA), for any formula P, if it is provable in PA that "if P is provable in PA then P is true", then P is provable in PA. More formally, if Prov(P) means that the formula P is provable, then

  
    
      
        
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    {\displaystyle \mathrm {if} \ PA\vdash ({\rm {Prov}}(P)\rightarrow P)\mathrm {,then} \ PA\vdash P,}
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        .<small> from [https://en.wikipedia.org/wiki/Lob%C3%A3o Wikipedia]</small>
{|
|+ 
|-
! Icon !! Service !! Username !!
{{Twt|lobaoeletrico}}
{{Wb|http://www.lobao.com.br/|lobao.com.br}}
{{Ins|lobaow}}
{{Yt|UCv-NWLLs-sKmgCoMwZuJPtw|Lobão}}
|}

[[VHID]]:[https://verifiedhandles.com/vhid/54769370507 54769370507]
{{#subtitle: <big>Brazilian musician</big>}}