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Proof step 13 from proof precedes-ascsubseq-2-h (previous step)

ascsubseq(n0 ' + ix1 + n1 ' + ix2, x) ⊦ precedes(n0, n1, x)

User applied rule constructor cut

And closed the goal!

Rule argument

var:ix1

Additional information

[Concretesimprules((Csimpnamedseq(ascsubseq-rec,,, ⊦ ascsubseq (n ' + m ' + ix, x) ↔ precedes(n, m, x) ∧ ascsubseq(m + ix, x)) Csimpgen(ilist freely generated by [], +;) Csimpnamedseq(list,indexseq,Nil, ⊦ [] + ix = ix) Csimpnamedseq(list,indexseq,a, ⊦ (ix + ix0) + ix1 = ix + ix0 + ix1)))]