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Proof step 11 from proof add-in-04 (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 3:
⊦ addobj(r, class1, [], st) = st[r -- _type, typeval(mkclasstype(class1))]
Proof step 10:
∀ r, sk, r0, class1, st. r -- sk ∈ addobj(r0, class1, fis0, st) ∧ r ∈ st → r = r0 ∨ r -- sk ∈ st ⊦ r -- sk ∈ addobj(r0, class1, fv + fis0, st) ∧ r ∈ st → r = r0 ∨ r -- sk ∈ st

Rule argument

[VARWITHFMAVARSARG : fis, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldinits generated by [], +;], [CSIMPSEQ : ⊦ r ≠ r0 → ( r -- sk ∈ st[r0 -- sk0, val] ↔ r -- sk ∈ st)], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])]]