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Proof step 31 from proof del-switch (previous step)

⊦ (rk ∈ st -- r -- r0 ↔ rk ∈ st -- r0 -- r) ∧ (st -- r -- r0)[rk] = (st -- r0 -- r)[rk]

User applied rule structural induction

And obtained the following new goals

Proof step 30:
⊦ (r1 -- sk ∈ st -- r -- r0 ↔ r1 -- sk ∈ st -- r0 -- r) ∧ (st -- r -- r0)[r1 -- sk] = (st -- r0 -- r)[r1 -- sk]

Rule argument

[VARWITHVARSEQSARG : rk, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : refkey generated by --;])]]