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Proof step 6 from proof isarray-put-samefield-01 (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), r ∈ st, r -- mkfs(class, ty, fieldvar) ' ∈ st, oktype(st[r -- mkfs(class, ty, fieldvar) '], ty, st), oktype(val, ty, st), r -- _type ∈ st, okarray(r, ty0, st[r -- mkfs(class, ty, fieldvar) ', val]) ⊦ mkfs(class, ty, fieldvar) ' = _length, mkfs(class, ty, fieldvar) ' = _type, r = jvmref, okarray(r, ty0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ r -- fs ' ∈ st ∧ oktype(st[r -- fs '], fs .type, st) ∧ oktype(val, fs .type, st) ∧ fs ' ≠ _type ∧ fs ' ≠ _length → (okarray(r, ty, st[r -- fs ', val]) ↔ okarray(r, ty, st))

Rule argument

[crewrite-arg: okarray-put-samefield-01 , F , [val, fs, st, ty, r] → [val, mkfs(class, ty, fieldvar), st, ty0, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (val, mkfs(class, ty, fieldvar), st, ty0, r)]]