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Proof step 3 from proof good-field-in-01 (previous step)

goodfieldandtype(r, sk, st) ⊦ r -- sk ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ is_fskey(sk) → (goodfieldandtype(r, sk, st) ↔ r -- sk ∈ st ∧ okval(st[r -- sk], sk .fs .type))
Proof step 2:
⊦ is_indexkey(sk) → ¬ goodfieldandtype(r, sk, st)

Rule argument

[crewrite-arg: good-field-field, F, [st, sk, r] → [st, sk, r]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])], [EXTRATERMS : (st, sk, r)]]