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Proof step 48 from proof fits-superset (previous step)

¬ (r ≠ jvmref ∧ ¬ is_valid_ref(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(st0[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(st0[r -- sk] .refval, sks0, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 47:
st[r -- sk] = refval(r0), st ⊆ st0, fits(r0, sks0, st), is_valid_ref(str, r, 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(st0[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(st0[r -- sk] .refval, sks0, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]