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Proof step 49 from proof lookup-statfield (previous step)

fits(r, sks, st) ⊦ r = jvmref, (st[jvmref -- sk, val][r -- sks]) = st[r -- sks], junkref(str, r, st)

User applied rule structural induction

And obtained the following new goals

Proof step 48:
∀ r, st, sk, val, str. fits(r, sks0, st) → r = jvmref ∨ (st[jvmref -- sk, val][r -- sks0]) = st[r -- sks0] ∨ junkref(str, r, st), fits(r, sk0 + sks0, st) ⊦ r = jvmref, (st[jvmref -- sk, val][r -- (sk0 + sks0)]) = st[r -- (sk0 + sks0)], junkref(str, r, st)

Rule argument

[VARWITHVARSEQSARG : sks, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : storekeys generated by [], +;], [CSIMPSEQ : ⊦ st[r -- []] = refval(r)], [CSIMPSEQ : ⊦ refval(r) = refval(r0) ↔ r = r0])]]