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Proof step 9 from proof ac-in-02 (previous step)

sk = fs ', is_fskey(sk), r -- i ' ∈ addclass(fs .class, (sk × val) ' + fis0, st), r ∈ addclass(fs .class, (sk × val) ' + fis0, st), ∀ r0, i0, class, st0. r0 -- i0 ' ∈ addclass(class, fis0, st0) → r0 -- i0 ' ∈ st0 ⊦ r -- i ' ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
r -- i ' ∈ addclass(fs .class, (fs ' × val) ' + fis0, st), r ∈ addclass(fs .class, (fs ' × val) ' + fis0, st), ∀ r0, i0, class, st0. r0 -- i0 ' ∈ addclass(class, fis0, st0) → r0 -- i0 ' ∈ st0 ⊦ r -- i ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]