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Proof step 19 from proof hasSharing-put-byteval-01 (previous step)

st[r0 -- sks0] = refval(r1), st[r0 -- sks] = refval(r1), fits(r0, sks, st), fits(r0, sks0, st), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']) ⊦ sks0 = sks, sks0 = [], sks = [], r1 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, junkref(str, r0, st), hasSharing(r0, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 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 18:
st[r0 -- sks0] = refval(r1), st[r0 -- sks] = refval(r1), fits(r0, sks, st), fits(r0, sks0, st), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']) ⊦ sks0 = sks, sks0 = [], sks = [], r1 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, junkref(str, r0, st), ∃ sks1, sks2. fits(r0, sks1, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]) ∧ fits(r0, sks2, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks1]) .refval ≠ jvmref ∧ (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks1]) = (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks2])

Rule argument

[crewrite-arg: hasSharing-def , F , [st, r] → [st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)], r0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)], r0)]]