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Proof step 8 from proof unchNorec-validrefs (previous step)

st[r -- _type] = st0[r -- _type], st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), st0[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st), is_obj(str, r, st0), validrefs(str, r1 ' + refs, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), unchangedNorec(r, st, st0), class0 ≤ class1, ∀ r0. r0 = r1 ∨ r0 ∈ refs → unchangedNorec(r0, st, st0), ∀ str0, ty1, st1, st2. validrefs(str0, r1 ' + refs, ty1, st1) ∧ (∀ r0. r0 = r1 ∨ r0 ∈ refs → unchangedNorec(r0, st1, st2)) → validrefs(str0, r1 ' + refs, ty1, st2) ⊦ r = jvmref, validrefs(str, r1 ' + refs, ty0, st0)

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 11, [extquanttermlist: (str, ty0, st, st0) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, ty0, st, st0)]]