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Proof step 10 from proof okarrays-put-02 (previous step)

∀ sk, r, st, r0, val. is_fskey(sk) → sk = _type ∨ sk = _length ∨ (okarrays(r, fis0, st[r0 -- sk, val]) ↔ okarrays(r, fis0, st)) ∨ sk ∈ fis0, is_fskey(sk) ⊦ sk = _type, sk = _length, okarrays(r, fv + fis0, st[r0 -- sk, val]) ↔ okarrays(r, fv + fis0, st), sk ∈ fv + fis0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
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 ⊦ sk = _type, sk = _length, okarrays(r, fv ' + fis0, st[r0 -- sk, val]) ↔ okarrays(r, fv ' + fis0, st), sk ∈ fv ', sk ∈ fis0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ sk ∈ fis + fis0 ↔ sk ∈ fis ∨ sk ∈ fis0], [CSIMPSEQ : ⊦ fv + fis = fv ' + fis])]]