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Proof step 4 from proof validsubset-trans (previous step)

validref(str, r, ty, st), validref(str, r, ty, st0), ∀ r. ¬ r ∈ st ∧ r ∈ st0 → ¬ junkref(str, r, st0), ∀ r. ¬ r ∈ st0 ∧ r ∈ st1 → ¬ junkref(str, r, st1), ∀ r, ty. validref(str, r, ty, st0) → validref(str, r, ty, st1) ⊦ validref(str, r, ty, st1)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 5, [QUANTTERMLIST : (r, ty)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r, ty)]]