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Proof step 16 from proof del-put (previous step)

⊦ (rk ∈ st[r -- sk, val] -- r ↔ rk ∈ st -- r) ∧ (st[r -- sk, val] -- r)[rk] = (st -- r)[rk]

User applied rule structural induction

And obtained the following new goals

Proof step 15:
⊦ (r -- sk ∈ st[r0 -- sk0, val] -- r0 ↔ r -- sk ∈ st -- r0) ∧ (st[r0 -- sk0, val] -- r0)[r -- sk] = (st -- r0)[r -- sk]

Rule argument

[VARWITHFMAVARSARG : rk, ()]

Additional information

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