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Proof step 41 from proof validval-put-any (previous step)

st[r1 -- _type] .type .type = void_type, i ' .fs = mkfs(class0, ty0, fieldvar0), is_reftype(ty), validref(str, r0, ty, st), is_array(str, r1, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, validref(str, r0, ty, st[r1 -- i ', refval(jvmref)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 37:
⊦ is_array(str, r, st) ↔ type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st)
Proof step 40:
st[r1 -- _type] .type .type = void_type, i ' .fs = mkfs(class0, ty0, fieldvar0), is_reftype(ty), validref(str, r0, ty, st), type∃(str, st[r1 -- _type] .type) ∧ st[r1 -- _type] .type .jtelemtype ≠ void_type ∧ st[r1 -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r1, st) ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, validref(str, r0, ty, st[r1 -- i ', refval(jvmref)])

Rule argument

[speclemmaarg: , is_array(str, r, st) ↔ type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st) ,[st, r, str] → [st, r1, str] ,F ,okfuns , ,is-real-array-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r1, str)]]