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Proof step 3 from proof validsubset-validref-forward (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
validref(str, r, ty, st), ∀ r. ¬ r ∈ st ∧ r ∈ st0 → ¬ junkref(str, r, st0), ∀ r, ty. validref(str, r, ty, st) → validref(str, r, ty, st0) ⊦ validref(str, r, ty, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]