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Proof step 18 from proof is_valid_ref-put (previous step)

is_array(r, st), okval(val, ty), type∃(str, st[r -- _type] .type) ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, st[r -- _type] .type .jtelemtype = void_type, st[r -- _type] .type .jtelemtype = abstract_type, is_array(r, st[r -- mkfs(class, ty, fieldvar) ', val]), class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st[r -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ fs ' ≠ _length ∧ fs ' ≠ _type → (is_array(r, st[r0 -- fs ', val]) ↔ is_array(r, st))

Rule argument

[speclemmaarg: , fs ' ≠ _length ∧ fs ' ≠ _type → (is_array(r, st[r0 -- fs ', val]) ↔ is_array(r, st)) ,[val, fs, r0, st, r] → [val, mkfs(class, ty, fieldvar), r, st, r] ,F ,okfuns , ,isarray-put-field ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≠ void_type → mkfs(class, ty, fieldvar) ' ≠ _type])], [EXTRATERMS : (val, mkfs(class, ty, fieldvar), r, st, r)]]