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Proof step 58 from proof validrefs-put-badclassfield (previous step)

st[r0 -- _type] .type = mkclasstype(class), 0 < st[r -- _length] .intval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st[r0 -- fs ', val]), 0 ≤ i, st[r -- _type] .type ≤ ty, junkref(str, st[r -- i '] .refval, st) ⊦ r = r0, r = jvmref, fs ' = _type, validrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st), junkref(str, r, st), fs ' ∈ instfields(class), r ∈ (st[r -- i '] .refval ' + refs) .butlast, dups((st[r -- i '] .refval ' + refs) .butlast)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 57:
st[r -- _type] .type = mkarraytype(ty0) ∧ is_arraytype(st[r -- _type] .type), st[r0 -- _type] .type = mkclasstype(class), 0 < st[r -- _length] .intval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, st[r -- i '] .refval ' + refs, ty0, st[r0 -- fs ', val]), 0 ≤ i, st[r -- _type] .type ≤ ty, junkref(str, st[r -- i '] .refval, st) ⊦ r = r0, r = jvmref, fs ' = _type, validrefs(str, st[r -- i '] .refval ' + refs, ty0, st), junkref(str, r, st), fs ' ∈ instfields(class), r ∈ (st[r -- i '] .refval ' + refs) .butlast, dups((st[r -- i '] .refval ' + refs) .butlast)

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [st[r -- _type] .type, ty0] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_arraytype (st[r -- _type] .type) → ¬ is_array(str, r, st)], [CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (st[r -- _type] .type, ty0)]]