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Proof step 13 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), (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 5:
⊦ ¬ junkref(str, r, st) ∧ fits(r, sks, st) ∧ r ≠ jvmref → (st[jvmref -- sk, val][r -- sks]) = st[r -- sks]
Proof step 11:
¬ (¬ junkref(str, r, st) ∧ fits(r, sks, st) ∧ r ≠ jvmref), st[r -- sks0] = refval(r0), st[r -- sks] = refval(r0), fits(r, sks, st), fits(r, sks0, st), (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)
Proof step 12:
⊦ ¬ junkref(str, r, st) ∧ fits(r, sks, st) ∧ r ≠ jvmref → (st[jvmref -- sk, val][r -- sks]) = st[r -- sks]

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r])], [EXTRATERMS : (str, r, st, sks, sk, val)]]