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Proof step 7 from proof validrefs-has-null (previous step)

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), jvmref ∈ refs1, validrefs(str, (r0 ' + refs1) + refs0, ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), ∀ refs, str0, ty0, st0. refs ≠ [] → ¬ validrefs(str0, (r0 ' + refs1) + refs, ty0, st0) ⊦ jvmref = r0, refs0 = [], r = jvmref

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 7, [QUANTTERMLIST : (refs0, str, ty1, st)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (refs0, str, ty1, st)]]