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Proof step 24 from proof fits-superset (previous step)

r -- sk ∈ st ∧ st ⊆ st0, is_obj(str, r, st), st[r -- sk] = refval(r0), st ⊆ st0, fits(r0, sks0, st), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, ∀ st, st0, r, str. st ⊆ st0 ∧ fits(r, sks0, st) → junkref(str, r, st) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st), is_referencevalue(st[r -- sk]) ∧ (is_classtype(st0[r -- _type] .type) → sk ∈ instfields(st0[r -- _type] .type .class)) ∧ (is_arraytype(st0[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st0[r -- _length] .intval ≤ sk .index) ∧ fits(st[r -- sk] .refval, sks0, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
st[r -- sk] = refval(r0), r ∈ st, sk ∈ instfields(st[r -- _type] .type .class), is_classtype(st[r -- _type] .type), fits(r0, sks0, st), st ⊆ st0, is_obj(str, r, st), r -- sk ∈ st, ∀ st, st0, r, str. st ⊆ st0 ∧ fits(r, sks0, st) → junkref(str, r, st) ∨ fits(r, sks0, st0) ⊦ r = jvmref, junkref(str, r, st), (is_classtype(st0[r -- _type] .type) → sk ∈ instfields(st0[r -- _type] .type .class)) ∧ (is_arraytype(st0[r -- _type] .type) → ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st0[r -- _length] .intval ≤ sk .index) ∧ fits(r0, sks0, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ is_classtype(ty) → ¬ is_arraytype(ty)], [CSIMPSEQ : ⊦ ¬ is_classtype (st[r -- _type] .type) → ¬ is_obj(str, r, st)])]]