[tlaplus] Requesting help with TLAPM proof

[Swee Warman <swee@xxxxxxxxx>]

Hi,

I am learning to use the TLAPM prover and would like some help.

I have the following simple example and I am trying to prove the theorem as shown below. I am not sure how to prove this in TLAPM. Anyone has any thoughts on how I could proceed?

Many thanks,

Swee

------------------------------- MODULE test -------------------------------

EXTENDS Naturals, TLAPS

VARIABLE y

inc == y' = [i \in DOMAIN y |-> y[i] + 1]

THEOREM inc => \A i \in DOMAIN y: y[i]' /= y[i]
  <1> SUFFICES ASSUME inc
               PROVE  \A i \in DOMAIN y: y[i]' /= y[i]
      OBVIOUS
  <1> QED
    BY DEF inc
  
============================================

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