[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 45 from proof theoremx-atmost-h (previous step)

covers(ixs, ix), # ixs < # ix, ascsubseq(ix, x) ⊦ ix = [], ∃ n0, n1, n. n0 ∈ ix ∧ n1 ∈ ix ∧ precedes(n0, n1, x) ∧ n < # ixs ∧ n0 ∈ ixs[n] ∧ n1 ∈ ixs[n]

User applied rule structural induction

And closed the goal!

Rule argument

indvar:ixs

Additional information

[Concretesimprules((Csimpnamedseq(coversi-empty,,, ⊦ covers([], ix) ↔ ix = []) Csimpgen(illist freely generated by [], +;)))]