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Proof step 9 from proof sw-delswr (previous step)

r ∈ H ⊦ H[r, o] \ rs = (H \ rs)[r, o], r ∈ rs

User applied rule structural induction

And closed the goal!

Rule argument

[VARWITHVARSEQSARG : rs, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : diffs-emp, , , ⊦ H0 \ ∅ = H0], [CSIMPGEN : refset generated by ∅, ++;])]]