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Proof step 13 from proof gft-not-01 (previous step)

is_fskey(sk), oktype(val, ty, st), goodfieldandtype(r, sk, st) ⊦ mkfs(class0, ty, fieldvar) ' = _type, (r = r0 ∧ sk = mkfs(class0, ty, fieldvar) ' ∨ r -- sk ∈ st) ∧ oktype(((r = r0 ∧ sk = mkfs(class0, ty, fieldvar) ') ⊃ val; st[r -- sk]), sk .fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
sk = fs ', is_fskey(sk), oktype(val, ty, st), goodfieldandtype(r, sk, st) ⊦ mkfs(class0, ty, fieldvar) ' = _type, (r = r0 ∧ sk = mkfs(class0, ty, fieldvar) ' ∨ r -- sk ∈ st) ∧ oktype(((r = r0 ∧ sk = mkfs(class0, ty, fieldvar) ') ⊃ val; 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)]]