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Proof step 7 from proof sw-delswr (previous step)

r ∈ H, ∀ r, H, o. r ∈ H → H[r, o] \ rs0 = (H \ rs0)[r, o] ∨ r ∈ rs0 ⊦ (H -- r0)[r, o] \ rs0 = ((H -- r0) \ rs0)[r, o], r = r0, r ∈ rs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information