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Proof step 12 from proof union-subset-left (previous step)

st .refs ∩ st0 .refs = ∅, rk ∈ st ⊦ st[rk] = (st ∪ st0)[rk]

User applied rule structural induction

And obtained the following new goals

Proof step 11:
st .refs ∩ st0 .refs = ∅, r -- sk ∈ st ⊦ st[r -- sk] = (st ∪ st0)[r -- sk]

Rule argument

[VARWITHVARSEQSARG : rk, ()]

Additional information

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