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Proof step 20 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[r1 -- mkfs(class, ty, fieldvar) ', val]), class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st[r1 -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ r ≠ r0 → (is_array(r0, st[r -- sk, val]) ↔ is_array(r0, st))
Proof step 19:
¬ r1 ≠ r, 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[r1 -- mkfs(class, ty, fieldvar) ', val]), class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st[r1 -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[speclemmaarg: ,r ≠ r0 → (is_array(r0, st[r -- sk, val]) ↔ is_array(r0, st)) ,[val, sk, r, st, r0] → [val, mkfs(class, ty, fieldvar) ', r1, st, r] ,F ,okfuns , ,isarray-put-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, mkfs(class, ty, fieldvar) ', r1, st, r)]]