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Proof step 9 from proof delswr (previous step)

r ∈ H, r ∈ rs ⊦ rs = ∅, H[r, o] \ rs = H \ rs, # rs = 0

User applied rule structural induction

And obtained the following new goals

Proof step 8:
∀ r, H, o. r ∈ H ∧ r ∈ rs0 → rs0 = ∅ ∨ H[r, o] \ rs0 = H \ rs0 ∨ # rs0 = 0, r ∈ H, r ∈ rs0 ++ r0 ⊦ rs0 ++ r0 = ∅, H[r, o] \ (rs0 ++ r0) = H \ (rs0 ++ r0), # (rs0 ++ r0) = 0

Rule argument

[VARWITHVARSEQSARG : rs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : refset generated by ∅, ++;])]]