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Proof step 20 from proof sharing-twopaths (previous step)

# sks1 = # refs0, st[r -- sks] = refval(r0), st[r -- sks0] = refval(refs0 .last), st[r0 -- sks1] = refval(refs0 .last), fits(r0, sks1, st), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), fits(r, sks0, st) ⊦ refs0 .last = jvmref, r0 = jvmref, sks0 = [], sks = [], sks = sks0, r = jvmref, refs0 = [], hasSharing(r, st), sks ⊑ sks0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ 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])
Proof step 19:
# sks1 = # refs0, st[r -- sks] = refval(r0), st[r -- sks0] = refval(refs0 .last), st[r0 -- sks1] = refval(refs0 .last), fits(r0, sks1, st), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), fits(r, sks0, st) ⊦ refs0 .last = jvmref, r0 = jvmref, sks0 = [], sks = [], sks = sks0, r = jvmref, refs0 = [], ∃ 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], sks ⊑ sks0

Rule argument

[crewrite-arg: hasSharing-def, F, [st, r] → [st, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r)]]