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Proof step 3 from proof add-notin (previous step)

∀ sk, r, class, st. sk = _type ∨ (addobj(r, class, fis0, st)[r -- sk]) = st[r -- sk] ∨ sk ∈ fis0 ⊦ fv .2 = st[r -- fv .1], fv .1 = _type, fv .1 ∈ fv ', fv .1 ∈ fis0

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

[speclemmaarg: ,sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val ,[fv, sk, val] → [fv, sk0, val] ,T ,pair ,fieldinit ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ∈ (sk0 × val) ' ↔ sk = sk0], [CSIMPELIM : ⊦ sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val])], [EXTRATERMS : (fv, sk0, val)]]