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Proof step 42 from proof unchanged-lookup-list-generic (previous step)

¬ ¬ is_obj(str, r, st0), junkref(str, st0[r -- sk] .refval, st0), unchanged(str, st0[r -- sk] .refval, st, st0), unchanged(str, r, st, st0), fits(st0[r -- sk] .refval, sks0, st0), fits(st0[r -- sk] .refval, sks0, st), is_referencevalue(st0[r -- sk]), is_valid_ref(str, r, st), is_valid_ref(str, r, st0), is_arraytype(st[r -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st0[r -- _type] .type) → sk ∈ instfields(st0[r -- _type] .type .class), is_arraytype(st0[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st0[r -- _length] .intval, is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class) ⊦ sks0 = [], st[st0[r -- sk] .refval -- sks0] = st0[st0[r -- sk] .refval -- sks0], r = jvmref, junkref(str, r, st), junkref(str, r, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
is_obj(str, r, st0), junkref(str, st0[r -- sk] .refval, st0), unchanged(str, st0[r -- sk] .refval, st, st0), unchanged(str, r, st, st0), fits(st0[r -- sk] .refval, sks0, st0), fits(st0[r -- sk] .refval, sks0, st), is_referencevalue(st0[r -- sk]), is_valid_ref(str, r, st), is_classtype(st0[r -- _type] .type), sk ∈ instfields(st0[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → sk = _length ∨ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval ⊦ sks0 = [], st[st0[r -- sk] .refval -- sks0] = st0[st0[r -- sk] .refval -- sks0], r = jvmref, junkref(str, r, st), junkref(str, r, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javatype, , diff, ⊦ is_classtype(ty) → ¬ is_arraytype(ty)], [CSIMPNAMEDSEQ : addfuns, , is_obj-classtype, ⊦ ¬ is_classtype (st[r -- _type] .type) → ¬ is_obj(str, r, st)], [CSIMPNAMEDSEQ : addfuns, , is_valid_ref-isobj, ⊦ is_obj(str, r, st) → is_valid_ref(str, r, st)])]]