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Proof step 21 from proof add-gft (previous step)

⊦ r = r0, r0 -- mkfs(class, mkarraytype(ty1), fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, mkarraytype(ty1), fieldvar) '], mkarraytype(ty1), addarray(r, ty, vals, st)) ↔ r0 -- mkfs(class, mkarraytype(ty1), fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, mkarraytype(ty1), fieldvar) '], mkarraytype(ty1), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ oktype(val, mkarraytype(ty), st) ↔ is_referencevalue(val)
Proof step 20:
⊦ r = r0, r0 -- mkfs(class, mkarraytype(ty1), fieldvar) ' ∈ st ∧ is_referencevalue(st[r0 -- mkfs(class, mkarraytype(ty1), fieldvar) ']) ↔ r0 -- mkfs(class, mkarraytype(ty1), fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, mkarraytype(ty1), fieldvar) '], mkarraytype(ty1), st)

Rule argument

[speclemmaarg: ,oktype(val, mkarraytype(ty), st) ↔ is_referencevalue(val) ,[st, ty, val] → [addarray(r, ty, vals, st), ty1, st[r0 -- mkfs(class, mkarraytype(ty1), fieldvar) ']] ,F ,okfuns , ,oktype-array ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, ty, vals, st), ty1, st[r0 -- mkfs(class, mkarraytype(ty1), fieldvar) '])]]