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Proof step 7 from proof validrefs-addobj (previous step)

st[r0 -- mkfs(class0, ty0, fieldvar) '] = refval(r2), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class0, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r2 ' + refs, ty0, addobj(r, class, fis, st)), ∀ str0, ty1, r1, class1, fis0, st0. validrefs(str0, r2 ' + refs, ty1, addobj(r1, class1, fis0, st0)) → validrefs(str0, r2 ' + refs, ty1, st0) ∨ r1 = r2 ∨ r1 ∈ refs ⊦ r0 = jvmref, r = r0, r = r2, r ∈ refs, validrefs(str, r2 ' + refs, ty0, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 6, [QUANTTERMLIST : (str, ty0, r, class, fis, st)]]

Additional information

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