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Proof step 30 from proof fits-in (previous step)

st[r -- i '] = refval(r1), is_array(str, r, st), r ∈ st, r -- i ' ∈ st, fits(r1, sks0, st), is_arraytype(st[r -- _type] .type), i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, 0 ≤ i, ∀ str0, r0, st0. ¬ junkref(str0, r0, st0) ∧ fits(r0, sks0, st0) → r0 -- sks0 ∈ st0 ⊦ r = jvmref, sks0 = [], r1 -- sks0 ∈ st, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ st[r -- i0 '] .refval ≠ jvmref ∧ (¬ st[st[r -- i0 '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- i0 '] .refval, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 29:
st[r -- _type] .type = mkarraytype(ty), st[r -- i '] = refval(r1), is_array(str, r, st), r ∈ st, r -- i ' ∈ st, fits(r1, sks0, st), is_arraytype(st[r -- _type] .type), i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, 0 ≤ i, ∀ str0, r0, st0. ¬ junkref(str0, r0, st0) ∧ fits(r0, sks0, st0) → r0 -- sks0 ∈ st0 ⊦ r = jvmref, sks0 = [], r1 -- sks0 ∈ st, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ st[r -- i0 '] .refval ≠ jvmref ∧ (¬ st[st[r -- i0 '] .refval -- _type] .type ≤ ty ∨ junkref(str, st[r -- i0 '] .refval, st))

Rule argument

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

Additional information

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