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Proof step 9 from proof compatarray-mode (previous step)

st[r -- j '] = refval(r0), st[r -- _length] = intval(i), st[r -- _type] .type = mkarraytype(ty), okval(st[r -- j '], ty), 0 < i, 0 ≤ j, r ∈ st, is_arrayref(r, i, st), r -- _length ∈ st, 0 ≤ i, j < i, is_referencevalue(st[r -- j ']), r0 ≠ jvmref → r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type) ∧ (has_classtype(st[r0 -- _type] .type) → tdname+∃(str, st[r0 -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[r0 -- _type] .type) → class+∃(str, st[r0 -- _type] .type .class)) ∧ is_subtype(str, st[r0 -- _type] .type, ty) ⊦ r = jvmref, compat(str, st[r -- j '], ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
st[r -- _type] .type = mkarraytype(ty), st[r -- _length] = intval(i), st[r -- j '] = refval(r0), j < i, 0 ≤ i, r -- _length ∈ st, is_arrayref(r, i, st), r ∈ st, 0 ≤ j, 0 < i, okval(refval(r0), ty), r0 ≠ jvmref → r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type) ∧ (has_classtype(st[r0 -- _type] .type) → tdname+∃(str, st[r0 -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[r0 -- _type] .type) → class+∃(str, st[r0 -- _type] .type .class)) ∧ is_subtype(str, st[r0 -- _type] .type, ty) ⊦ r = jvmref, compat(str, refval(r0), ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]