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Proof step 4 from proof del-subset (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ r -- sk ∈ st -- r0 ↔ r ≠ r0 ∧ r -- sk ∈ st
Proof step 3:
⊦ r ≠ r0 → (st -- r)[r0 -- sk0] = st[r0 -- sk0]

Rule argument

[VARWITHVARSEQSARG : rk, ()]

Additional information

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