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Proof step 20 from proof ex-fits-validrefs-stronger (previous step)

is_obj(str, r, st), st[r -- sk] = refval(r0), junkref(str, r0, st), 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 ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r ' + r0 ' + refs, st[r -- _type] .type, st) ∧ # refs = # sks0 ∧ (sks ⊑ sk ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + r0 ' + refs)[# sks])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
st[r -- sk] = refval(r0), is_obj(str, r, st), junkref(str, r0, st), fits(r0, sks0, st), is_classtype(st[r -- _type] .type), sk ∈ instfields(st[r -- _type] .type .class) ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r ' + r0 ' + refs, st[r -- _type] .type, st) ∧ # refs = # sks0 ∧ (sks ⊑ sk ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + r0 ' + refs)[# sks])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(ty) → ¬ is_arraytype(ty)], [CSIMPSEQ : ⊦ ¬ is_classtype (st[r -- _type] .type) → ¬ is_obj(str, r, st)])]]