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Proof step 4 from proof gfts-in (previous step)

sk ∈ sks, goodfieldsandtypes(r, sks, st) ⊦ goodfieldandtype(r, sk, st)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ sk, r, st. sk ∈ sks0 ∧ goodfieldsandtypes(r, sks0, st) → goodfieldandtype(r, sk, st) ⊦ sk0 ∈ sk + sks0 ∧ goodfieldsandtypes(r, sk + sks0, st) → goodfieldandtype(r, sk0, st)

Rule argument

[VARWITHFMAVARSARG : sks, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : storekeys generated by [], +;], [CSIMPSEQ : ⊦ ¬ sk ∈ []])]]