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Proof step 7 from proof add-in-03 (previous step)

r -- sk ∈ st, r ∈ st ⊦ r -- sk ∈ addobj(r0, class1, fis, st)

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ addobj(r, class1, [], st) = st[r -- _type, typeval(mkclasstype(class1))]
Proof step 6:
∀ r, sk, st, r0, class1. r -- sk ∈ st ∧ r ∈ st → r -- sk ∈ addobj(r0, class1, fis0, st) ⊦ r -- sk ∈ st ∧ r ∈ st → r -- sk ∈ addobj(r0, class1, fv + fis0, st)

Rule argument

[VARWITHFMAVARSARG : fis, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldinits generated by [], +;], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]