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Proof step 17 from proof hasSharing-put-statfield (previous step)

st[r -- sks0] = refval(r0), st[r -- sks] = refval(r0), fits(r, sks, st), fits(r, sks0, st), ¬ fits(r, sks, st[jvmref -- sk, val]) ∨ ¬ fits(r, sks0, st[jvmref -- sk, val]) ∨ (st[jvmref -- sk, val][r -- sks]) .refval = jvmref ∨ (st[jvmref -- sk, val][r -- sks]) ≠ (st[jvmref -- sk, val][r -- sks0]) ⊦ r0 = jvmref, sks = [], sks0 = [], sks0 = sks, junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ junkref(str, r, st) → (fits(r, sks, st[jvmref -- sk, val]) ↔ fits(r, sks, st))
Proof step 16:
¬ junkref(str, r, st), st[r -- sks0] = refval(r0), st[r -- sks] = refval(r0), fits(r, sks, st), fits(r, sks0, st), ¬ fits(r, sks, st) ∨ ¬ fits(r, sks0, st[jvmref -- sk, val]) ∨ (st[jvmref -- sk, val][r -- sks]) .refval = jvmref ∨ (st[jvmref -- sk, val][r -- sks]) ≠ (st[jvmref -- sk, val][r -- sks0]) ⊦ r0 = jvmref, sks = [], sks0 = [], sks0 = sks, junkref(str, r, st)

Rule argument

[crewrite-arg: fits-put-statfield , F , [str, r, st, sks, sk, val] → [str, r, st, sks, sk, val] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r, st, sks, sk, val)]]