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Proof step 36 from proof fits-in (previous step)

st[r -- sk] = refval(r1), r ∈ st, r -- sk ∈ st, fits(r1, sks0, st), is_obj(str, r, st) ∨ is_array(str, r, st), ∀ str0, r0, st0. ¬ junkref(str0, r0, st0) ∧ fits(r0, sks0, st0) → r0 -- sks0 ∈ st0, 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) ⊦ r = jvmref, sks0 = [], r1 -- sks0 ∈ st, junkref(str, r, st)

User applied rule case distinction

And obtained the following new goals

Proof step 23:
is_obj(str, r, st), st[r -- sk] = refval(r1), r ∈ st, r -- sk ∈ st, fits(r1, sks0, st), ∀ str0, r0, st0. ¬ junkref(str0, r0, st0) ∧ fits(r0, sks0, st0) → r0 -- sks0 ∈ st0, 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) ⊦ r = jvmref, sks0 = [], r1 -- sks0 ∈ st, junkref(str, r, st)
Proof step 35:
is_array(str, r, st), st[r -- sk] = refval(r1), r ∈ st, r -- sk ∈ st, fits(r1, sks0, st), ∀ str0, r0, st0. ¬ junkref(str0, r0, st0) ∧ fits(r0, sks0, st0) → r0 -- sks0 ∈ st0, 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) ⊦ r = jvmref, sks0 = [], r1 -- sks0 ∈ st, junkref(str, r, st)

Rule argument

[CASEDARG : pos: left 5, ()]

Additional information

[[CONCRETESIMPRULES : ()]]