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Proof step 18 from proof fits-put-01 (previous step)

sk .fs = mkfs(class0, ty, fieldvar), st[r -- _type] .type = mkclasstype(class), st[r -- sk] = refval(r0), is_obj(str, r, st), okarray(r1, byte_type, st), fits(r0, sks0, st), r1 ∈ st, is_referencevalue(st[r0 -- sks0]), sk ∈ instfields(class), is_indexkey(sk), is_valid_ref(str, r0, st) → r0 = jvmref ∨ junkref(str, r0, st) ⊦ sks0 = [], r1 = jvmref, r = jvmref, r = r1, fits(r0, sks0, st[r1 -- i ', byteval(by)]), mkfs(class0, ty, fieldvar) ' ∈ instfields(class) ∧ is_referencevalue(st[r -- mkfs(class0, ty, fieldvar) ']) ∧ st[r -- mkfs(class0, ty, fieldvar) '] .refval ≠ jvmref ∧ (¬ st[st[r -- mkfs(class0, ty, fieldvar) '] .refval -- _type] .type ≤ ty ∨ junkref(str, st[r -- mkfs(class0, ty, fieldvar) '] .refval, st))

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

[speclemmaarg: is_referencevalue(val) ,r = val .refval ↔ val = refval(r) ,[val, r] → [st[r -- mkfs(class0, ty, fieldvar) '], r2] ,T ,javavalue , ,elim-refval ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ sk ∈ instfields(class)], [CSIMPELIM : is_referencevalue(val) ⊦ r = val .refval ↔ val = refval(r)])], [EXTRATERMS : (st[r -- mkfs(class0, ty, fieldvar) '], r2)]]