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Proof step 5 from proof okarrays-put-02 (previous step)

fs ' .fs = mkfs(class, ty, fieldvar), is_fskey(sk), is_integervalue(val0), is_arraytype(ty), okarray(st[r -- fs '], ty .type, val0 .intval, st), ∀ sk0, r1, st0, r2, val0. ¬ is_indexkey(sk0) → sk0 = _type ∨ sk0 = _length ∨ (okarrays(r1, fis0, st0[r2 -- sk0, val0]) ↔ okarrays(r1, fis0, st0)) ∨ sk0 ∈ fis0 ⊦ sk = fs ', sk = _type, sk = _length, is_fskey(fs ') ∧ okarrays(r, fis0, st[r0 -- sk, val]) ↔ ¬ is_indexkey(fs ') ∧ okarrays(r, fis0, st), sk ∈ fis0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
okarray(st[r -- mkfs(class, ty, fieldvar) '], ty .type, val0 .intval, st), is_arraytype(ty), is_integervalue(val0), is_fskey(sk), ∀ sk0, r1, st0, r2, val0. ¬ is_indexkey(sk0) → sk0 = _type ∨ sk0 = _length ∨ (okarrays(r1, fis0, st0[r2 -- sk0, val0]) ↔ okarrays(r1, fis0, st0)) ∨ sk0 ∈ fis0 ⊦ okarrays(r, fis0, st[r0 -- sk, val]) ↔ okarrays(r, fis0, st), sk = _length, sk = _type, sk = mkfs(class, ty, fieldvar) ', sk ∈ fis0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')], [CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ fs ' .fs = fs])]]