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Proof step 45 from proof validrefs-putbar (previous step)

is_obj(`docs2store', r, st), okbytearray(r1, st), is_obj(`docs2store', r, putByteArray(bytes, r1, i, st)), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ']), validrefs(`docs2store', st[r -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty0, putByteArray(bytes, r1, i, st)), ∀ r0, st0, ty1, bytes0, i0. okbytearray(r0, st0) ∧ validrefs(`docs2store', st[r -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty1, putByteArray(bytes0, r0, i0, st0)) → validrefs(`docs2store', st[r -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty1, st0) ⊦ r = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- mkfs(class, ty0, fieldvar) '] .refval = st[r -- fs '] .refval ∧ validrefs(`docs2store', st[r -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 44:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r2), is_obj(`docs2store', r, st), okbytearray(r1, st), is_obj(`docs2store', r, putByteArray(bytes, r1, i, st)), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ']), validrefs(`docs2store', r2 ' + refs, ty0, putByteArray(bytes, r1, i, st)), ∀ r0, st0, ty1, bytes0, i0. okbytearray(r0, st0) ∧ validrefs(`docs2store', r2 ' + refs, ty1, putByteArray(bytes0, r0, i0, st0)) → validrefs(`docs2store', r2 ' + refs, ty1, st0) ⊦ r = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r2 = st[r -- fs '] .refval ∧ validrefs(`docs2store', r2 ' + refs, fs .type, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r -- mkfs(class, ty0, fieldvar) '], r2] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- mkfs(class, ty0, fieldvar) '], r2)]]