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Proof step 124 from proof compat-addobj (previous step)

st[r0 -- _type] = typeval(mkclasstype(class0)), sk .fs = mkfs(class1, ty, fieldvar), is_fskey(sk), r0 -- sk ∈ st, class+∃(str, class0), is_predefined_class(class), newref(r, st), compatmode(str, st), compatstatic(str, st), r0 -- _type ∈ st, r0 ∈ st, sk ∈ instfields(class0), compat(str, st[r0 -- sk], ty, st) ⊦ r = jvmref, r0 = jvmref, compat(str, st[r0 -- sk], ty, addobj(r, class, [], st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 123:
sk = fs ', st[r0 -- _type] = typeval(mkclasstype(class0)), fs = mkfs(class1, ty, fieldvar), is_fskey(sk), r0 -- sk ∈ st, class+∃(str, class0), is_predefined_class(class), newref(r, st), compatmode(str, st), compatstatic(str, st), r0 -- _type ∈ st, r0 ∈ st, sk ∈ instfields(class0), compat(str, st[r0 -- sk], ty, st) ⊦ r = jvmref, r0 = jvmref, compat(str, st[r0 -- sk], ty, addobj(r, class, [], 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)]]