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Proof step 7 from proof compatarray-mode (previous step)

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, okval(refval(r0), ty) ∧ ( is_referencevalue(refval(r0)) ∧ refval(r0) .refval ≠ jvmref → refval(r0) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r0) .refval -- _type]) ∧ is_reftype(st[refval(r0) .refval -- _type] .type) ∧ (has_classtype(st[refval(r0) .refval -- _type] .type) → tdname+∃(str, st[refval(r0) .refval -- _type] .type .jtelemtype .class)) ∧ (is_classtype(st[refval(r0) .refval -- _type] .type) → class+∃(str, st[refval(r0) .refval -- _type] .type .class)) ∧ asgcomp(str, refval(r0), ty, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
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, (ty = void_type ∨ is_reftype(ty)) ∧ ( r0 ≠ jvmref → r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type) ∧ ( has_classtype(st[r0 -- _type] .type) → class∃(str, st[r0 -- _type] .type .jtelemtype .class) ∨ interface∃(str, st[r0 -- _type] .type .jtelemtype .class) ∨ is_predefined_class(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))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ asgcomp(str, val, ty, st) ↔ ¬ is_referencevalue(val) ∨ val .refval = jvmref ∨ is_subtype (str, st[val .refval -- _type] .type, ty)], [CSIMPSEQ : ⊦ tdname∃(str, class) ↔ class∃(str, class) ∨ interface∃(str, class)], [CSIMPSEQ : ⊦ tdname+∃(str, class) ↔ tdname∃(str, class) ∨ is_predefined_class(class)], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ okval(refval(r), ty) ↔ ty = void_type ∨ is_reftype(ty)])]]