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Proof step 3 from proof good-one (conclusion)

⊦ goodfieldsandtypes(r, sk ', st) ↔ goodfieldandtype(r, sk, st)

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ goodfieldsandtypes(r, sk ' + sks, st) ↔ goodfieldandtype(r, sk, st) ∧ goodfieldsandtypes(r, sks, st)
Proof step 2:
⊦ goodfieldsandtypes(r, [], st)

Rule argument

[LEMMAARG : good-rec, [r, sk, sks, st] → [r, sk, [], st]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sks + [] = sks], [CSIMPSEQ : ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1])], [EXTRATERMS : (r, sk, [], st)]]