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

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(str0, r, st), st[r -- _type] .type ≤ ty0, level⊆(str, str0), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r0 ' + refs, ty, st), ∀ str1, ty1, st0, str2. validrefs(str1, r0 ' + refs, ty1, st0) ∧ level⊆(str1, str2) → validrefs(str2, r0 ' + refs, ty1, st0) ⊦ r = jvmref, validrefs(str0, r0 ' + refs, ty, st)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 8, [QUANTTERMLIST : (str, ty, st, str0)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (str, ty, st, str0)]]