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Proof step 5 from proof ar-elems-update-h0 (previous step)

n0 < # ar, n0 ≤ n, n < # ar ⊦ ar[n, a] elems n0 = ar elems n0

User applied rule structural induction

And closed the goal!

Rule argument

[VARWITHVARSEQSARG : n0, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : elems-base, , , ⊦ ar elems 0 = ∅], [CSIMPGEN : nat generated by 0, +1;])]]