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Proof step 9 from proof gfts-put (previous step)

⊦ r = r0, goodfieldsandtypes(r, sks, st[r0 -- sk0, val]) ↔ goodfieldsandtypes(r, sks, st)

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ goodfieldsandtypes(r, [], st)
Proof step 8:
∀ r, r0, st, sk0, val. r = r0 ∨ (goodfieldsandtypes(r, sks0, st[r0 -- sk0, val]) ↔ goodfieldsandtypes(r, sks0, st)) ⊦ r = r0, goodfieldsandtypes(r, sk + sks0, st[r0 -- sk0, val]) ↔ goodfieldsandtypes(r, sk + sks0, st)

Rule argument

[VARWITHVARSEQSARG : sks, ()]

Additional information

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