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Proof step 15 from proof gft-not-01 (previous step)

oktype(val, ty, st), goodfieldandtype(r, sk, st) ⊦ mkfs(class0, ty, fieldvar) ' = _type, goodfieldandtype(r, sk, st[r0 -- mkfs(class0, ty, fieldvar) ', val])

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 ∧ oktype(st[r -- sk], sk .fs .type, st))
Proof step 5:
¬ is_fskey(sk), oktype(val, ty, st), goodfieldandtype(r, sk, st) ⊦ mkfs(class0, ty, fieldvar) ' = _type, goodfieldandtype(r, sk, st[r0 -- mkfs(class0, ty, fieldvar) ', val])
Proof step 14:
is_fskey(sk), oktype(val, ty, st), goodfieldandtype(r, sk, st) ⊦ mkfs(class0, ty, fieldvar) ' = _type, r -- sk ∈ st[r0 -- mkfs(class0, ty, fieldvar) ', val] ∧ oktype(st[r0 -- mkfs(class0, ty, fieldvar) ', val][r -- sk], sk .fs .type, st[r0 -- mkfs(class0, ty, fieldvar) ', val])

Rule argument

[crewrite-arg: good-field-02 , F , [st, sk, r] → [st[r0 -- mkfs(class0, ty, fieldvar) ', val], sk, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- mkfs(class0, ty, fieldvar) ', val], sk, r)]]