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Proof step 25 from proof add-gft (previous step)

⊦ 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), r = r0, ¬ is_classtype(ty0) ∧ ¬ is_arraytype(ty0)

User applied rule case distinction

And obtained the following new goals

Proof step 16:
⊦ ¬ is_classtype(ty0), 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), r = r0
Proof step 24:
⊦ ¬ is_arraytype(ty0), 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), r = r0

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]