Stuck on an obvious proof [TLAPS]

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Saswata Paul

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Aug 29, 2019, 1:23:07 PM8/29/19
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Hi,

   I have been working on a proof using TLAPS, but I seem to be stuck at a simple step which should be very obvious.

   So the following is a snippet from my proof :
           
        <2>3a. \A Q \in Quorum: \E a \in Q : maxVBal[a] \geq b 
              OMITTED
        <2>3b. b \geq 0
              OMITTED            
        <2>3c. \A Q \in Quorum: \E a \in Q : maxVBal[a] \geq 0   
              BY <2>3a, <2>3b

   The BY proof for step <2>3c is not going through.
     
   Shouldn't <2>3c be a simple logical consequence of <2>3a and <2>3b ?  (Unless I am making an extremely silly error)

   Is there a syntax/semantic error that is preventing the proof from going through or is it some limitation of the back end solvers that requires this simple proof to be broken even further? 


Thank you   

Saksham Chand

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Aug 29, 2019, 1:54:01 PM8/29/19
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Types are missing (see the bold below).

        <2>3c. \A Q \in Quorum: \E a \in Q : maxVBal[a] \geq 0   
              BY <2>3a, <2>3b DEF TypeOK, Ballots

Thanks,
Saksham

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Saswata Paul

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Aug 29, 2019, 2:21:15 PM8/29/19
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   That worked! And it makes sense too.   

   Thank you for pointing that out! 

Paul

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