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Proof step 10 from proof validrefs-contains-null (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 7, [QUANTTERMLIST : (str, refs0, ty0, st)]]

Additional information

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