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Proof step 23 from proof add-gft (previous step)

is_arraytype(ty0) ⊦ r = r0, r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, ty0, fieldvar) '], ty0, addarray(r, ty, vals, st)) ↔ r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, ty0, fieldvar) '], ty0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ is_arraytype(ty) ↔ (∃ ty0. ty = mkarraytype(ty0))
Proof step 22:
∃ ty1. ty0 = mkarraytype(ty1) ⊦ r = r0, r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, ty0, fieldvar) '], ty0, addarray(r, ty, vals, st)) ↔ r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ∧ oktype(st[r0 -- mkfs(class, ty0, fieldvar) '], ty0, st)

Rule argument

[speclemmaarg: ,is_arraytype(ty) ↔ (∃ ty0. ty = mkarraytype(ty0)) ,[ty] → [ty0] ,F ,javatype , ,ex-02 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (ty0)]]