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Proof step 67 from proof validrefs-putbar-01 (previous step)

refs0 .first = st[r0 -- mkfs(class, ty0, fieldvar) '] .refval, st[r0 -- _type] .type ≤ ty, is_obj(str, r0, putByteArray(bytes, r, i, st)), okbytearray(r, st), validrefs(str, refs0, ty0, putByteArray(bytes, r, i, st)), is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), ∀ i, bytes, ty, r0, str, st, r, refs. # refs < # refs0 → (okbytearray(r, st) ∧ validrefs(str, r0 ' + refs, ty, putByteArray(bytes, r, i, st)) → junkref(str, r0, st) ∨ validrefs(str, r0 ' + refs, ty, st)) ⊦ r0 = jvmref, junkref(str, r0, st), validrefs(str, r0 ' + refs0, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 66:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), refs0 .first = r1, st[r0 -- _type] .type ≤ ty, is_obj(str, r0, putByteArray(bytes, r, i, st)), okbytearray(r, st), validrefs(str, refs0, ty0, putByteArray(bytes, r, i, st)), is_referencevalue(st[r0 -- mkfs(class, ty0, fieldvar) ']), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), ∀ i, bytes, ty, r0, str, st, r, refs. # refs < # refs0 → (okbytearray(r, st) ∧ validrefs(str, r0 ' + refs, ty, putByteArray(bytes, r, i, st)) → junkref(str, r0, st) ∨ validrefs(str, r0 ' + refs, ty, st)) ⊦ r0 = jvmref, junkref(str, r0, st), validrefs(str, r0 ' + refs0, ty, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r0 -- mkfs(class, ty0, fieldvar) '], r1] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r0 -- mkfs(class, ty0, fieldvar) '], r1)]]