[tlaplus] TLAPS: how to take a \beta-reduction step?

["'Marko Schuetz-Schmuck' via tlaplus" <tlaplus@xxxxxxxxxxxxxxxx>]

Dear All,

I have a function Insert and an operator InsertOp as in the attached
file. When I make the definition of the operator available TLAPS proves
the corresponding theorem, but when I make the definition of the
function available the function gets rewritten leading to the goal

ASSUME NEW CONSTANT Elems,
       NEW CONSTANT x \in Elems,
       NEW CONSTANT set \in SUBSET Elems
PROVE  x
       \in [new \in Elems, set_1 \in SUBSET Elems |-> set_1 \cup {new}][x,
                                                                    set]

How do I tell TLAPS to take the \beta-reduction step?

I was unable to find this in all the TLAPS documentation I checked.

Thanks and best regards,

Marko

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------------------------------- MODULE Dummy -------------------------------
EXTENDS TLAPS
CONSTANT Elems
ASSUME \E x : x \in Elems

Insert[new \in Elems, set \in SUBSET Elems] ==
  set \cup {new} 

InsertOp(new, set) ==
  set \cup {new}

THEOREM \A x \in Elems, set \in SUBSET Elems: 
  x \in Insert[x, set]
  <1> SUFFICES ASSUME NEW x \in Elems, NEW set \in SUBSET Elems
               PROVE  x \in Insert[x, set]
    OBVIOUS
  <1> QED
    BY DEF Insert

THEOREM \A x \in Elems, set \in SUBSET Elems:
  x \in InsertOp(x, set)
  <1>a SUFFICES ASSUME NEW x \in Elems, NEW set \in SUBSET Elems
               PROVE  x \in InsertOp(x, set)
    OBVIOUS
  <1>b QED
    BY DEF InsertOp
=============================================================================
\* Modification History
\* Last modified Thu Jun 20 12:30:32 AST 2019 by marko
\* Created Thu Jun 13 13:34:49 AST 2019 by marko

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