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Proof step 46 from proof validrefs-trans-01 (previous step)

st[r -- mkfs(class, ty3, fieldvar) '] = refval(r0), validrefs(str, refs0 .last ' + refs1, ty0, st), st[r -- _type] .type ≤ ty, mkfs(class, ty3, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r0 ' + refs0, ty3, st), is_obj(str, r, st), ∀ str0, ty1, st0, refs, ty2. validrefs(str0, r0 ' + refs0, ty1, st0) ∧ validrefs(str0, refs0 .last ' + refs, ty2, st0) → validrefs(str0, (r0 ' + refs0) + refs, ty1, st0) ⊦ r = jvmref, refs0 = [], validrefs(str, r0 ' + refs0 + refs1, ty3, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 7, [QUANTTERMLIST : (str, ty3, st, refs1, ty0)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, ty3, st, refs1, ty0)]]