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Proof step 13 from proof fits-subset (previous step)

sk .fs = mkfs(class0, ty, fieldvar), st0[r -- sk] = refval(r0), st0[r -- _type] .type = mkclasstype(class), junkref(str, r0, st0), r -- sk ∈ st0, r ∈ st0, sk ∈ instfields(class), fits(r0, sks0, st), st0 ⊆ st, is_obj(str, r, st0), r -- _type ∈ st0, is_indexkey(sk) ⊦ r = jvmref, fits(r0, sks0, st0), mkfs(class0, ty, fieldvar) ' ∈ instfields(class) ∧ is_referencevalue(st0[r -- mkfs(class0, ty, fieldvar) ']) ∧ st0[r -- mkfs(class0, ty, fieldvar) '] .refval ≠ jvmref ∧ (¬ st0[st0[r -- mkfs(class0, ty, fieldvar) '] .refval -- _type] .type ≤ ty ∨ junkref(str, st0[r -- mkfs(class0, ty, fieldvar) '] .refval, st0))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,is_indexkey(sk) ↔ (∃ i. sk = i ') ,[sk] → [sk] ,F ,storekey , ,ex-04 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i ' ∈ instfields(class)])], [EXTRATERMS : (sk)]]