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Proof step 4 from proof okarrays-not (previous step)

oktype(val, ty, st), okarray(st[r -- mkfs(class, mkarraytype(ty1), fieldvar0) '], ty1, i, st), okarrays(r, fis0, st), okarrays(r, fis0, st[r0 -- mkfs(class0, ty, fieldvar) ', val]), class0 ≠ class ∨ ty ≠ mkarraytype(ty1) ∨ fieldvar ≠ fieldvar0 ⊦ mkfs(class0, ty, fieldvar) ' = _type, mkfs(class0, ty, fieldvar) ' = _length, mkfs(class0, ty, fieldvar) ' ∈ fis0, okarray(st[r -- mkfs(class, mkarraytype(ty1), fieldvar0) '], ty1, i, st[r0 -- mkfs(class0, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ sk ≠ _length ∧ sk ≠ _type ∧ is_fskey(sk) → (okarray(val, ty, i, st[r -- sk, val0]) ↔ okarray(val, ty, i, st))

Rule argument

[crewrite-arg: okarray-put-08 , F , [val0, sk, r, st, i, ty, val] → [val, mkfs(class0, ty, fieldvar) ', r0, st, i, ty1, st[r -- mkfs(class, mkarraytype(ty1), fieldvar0) ']] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')])], [EXTRATERMS : (val, mkfs(class0, ty, fieldvar) ', r0, st, i, ty1, st[r -- mkfs(class, mkarraytype(ty1), fieldvar0) '])]]