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

is_array(r, st), oktype(val, ty, st) ⊦ mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, is_array(r, st[r -- mkfs(class, ty, fieldvar) ', val]), is_obj(r, st[r -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

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

Rule argument

[speclemmaarg: , is_array(r, st) ∧ oktype(val, fs .type, st) ∧ fs ' ≠ _type ∧ fs ' ≠ _length → is_array(r, st[r -- fs ', val]) ,[val, fs, st, r] → [val, mkfs(class, ty, fieldvar), st, r] ,F ,okfuns , ,isarray-put-samefield ]

Additional information

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