| ⊦ ¬ hasSharing(r, st[jvmref -- sk, val]) ↔ ¬ hasSharing(r, st), junkref(str, r, st) |
⊦ hasSharing(r, st) ↔ (∃ sks1, sks2. fits(r, sks1, st) ∧ fits(r, sks2, st) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ st[r -- sks1] .refval ≠ jvmref ∧ st[r -- sks1] = st[r -- sks2])
⊦ ¬ (∃ sks1, sks2. fits(r, sks1, st[jvmref -- sk, val]) ∧ fits(r, sks2, st[jvmref -- sk, val]) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ (st[jvmref -- sk, val][r -- sks1]) .refval ≠ jvmref ∧ (st[jvmref -- sk, val][r -- sks1]) = (st[jvmref -- sk, val][r -- sks2])) ↔ ¬ hasSharing(r, st), junkref(str, r, st)
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[jvmref -- sk, val], r)]]