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Proof step 11 from proof gfts-null (previous step)

⊦ sk = _type, goodfieldsandtypes(r0, sks, st[jvmref -- sk, val]) ↔ goodfieldsandtypes(r0, sks, st), sk ∈ sks

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ goodfieldsandtypes(r, [], st)
Proof step 10:
∀ sk, r0, st, val. sk = _type ∨ (goodfieldsandtypes(r0, sks0, st[jvmref -- sk, val]) ↔ goodfieldsandtypes(r0, sks0, st)) ∨ sk ∈ sks0 ⊦ sk0 = _type ∨ (goodfieldsandtypes(r0, sk + sks0, st[jvmref -- sk0, val]) ↔ goodfieldsandtypes(r0, sk + sks0, st)) ∨ sk0 ∈ sk + sks0

Rule argument

[VARWITHFMAVARSARG : sks, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : storekeys generated by [], +;])]]