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Proof step 9 from proof gengfts (previous step)

sk .fs = mkfs(class, ty, fieldvar), oktype(val, ty, st), goodfieldandtype(r, sk, st) ⊦ sk = _type, goodfieldsandtypes(r0, sks, st[r -- sk, val]) ↔ goodfieldsandtypes(r0, sks, st)

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ goodfieldsandtypes(r, [], st)
Proof step 8:
∀ sk, class, ty, fieldvar, val, st, r, r0. sk .fs = mkfs(class, ty, fieldvar) ∧ oktype(val, ty, st) ∧ goodfieldandtype(r, sk, st) → sk = _type ∨ (goodfieldsandtypes(r0, sks0, st[r -- sk, val]) ↔ goodfieldsandtypes(r0, sks0, st)), sk .fs = mkfs(class, ty, fieldvar), oktype(val, ty, st), goodfieldandtype(r, sk, st) ⊦ sk = _type, goodfieldsandtypes(r0, sk0 + sks0, st[r -- sk, val]) ↔ goodfieldsandtypes(r0, sk0 + sks0, st)

Rule argument

[VARWITHFMAVARSARG : sks, ()]

Additional information

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