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Proof step 11 from proof gft-not-01 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
fs = mkfs(class, ty0, fieldvar0), oktype(val, ty, st), goodfieldandtype(r, fs ', st) ⊦ mkfs(class0, ty, fieldvar) ' = _type, (r -- fs ' ∈ st ∨ r = r0 ∧ fs = mkfs(class0, ty, fieldvar)) ∧ oktype(((r = r0 ∧ fs = mkfs(class0, ty, fieldvar)) ⊃ val; st[r -- fs ']), ty0, st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty0, fieldvar0] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty0, fieldvar0)]]