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Proof step 10 from proof ascsubseq-in-size (previous step)

n ∈ ix, ascsubseq(ix, x), # x ≤ n ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 9:
∀ n, x. ¬(n ∈ ix0 ∧ ascsubseq(ix0, x) ∧ # x ≤ n), n ∈ m + ix0, ascsubseq(m + ix0, x), # x ≤ n ⊦

Rule argument

indvar:ix

Additional information

[Concretesimprules((Csimpgen(ilist freely generated by [], +;) Csimpnamedseq(list,indexseq,in-empty, ⊦ ¬ n ∈ [])))]