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Proof step 16 from proof compatobj-isobj (previous step)

is_fskey(sk), st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, r -- _type ∈ st, class+∃(str, class), sk ∈ instfields(class), ∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st) ⊦ r = jvmref, r -- sk ∈ st ∧ oktype(st[r -- sk], sk .fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
sk = fs ', is_fskey(sk), st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, r -- _type ∈ st, class+∃(str, class), sk ∈ instfields(class), ∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st) ⊦ r = jvmref, r -- sk ∈ st ∧ oktype(st[r -- sk], fs .type, st)

Rule argument

[speclemmaarg: ,is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') ,[sk, fs] → [sk, fs] ,T ,storekey , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]