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Proof step 18 from proof precedesex-rev-rec1 (previous step)

precedes∃(ixs + ix0 ' + ix1 ', x) ⊦ precedes∃(ixs + ix0 ', x) ∧ (n ∈ ix1 → (∃ n0. n0 ∈ ix0 ∧ precedes(n0, n, x)))

User applied rule structural induction

And obtained the following new goals

Proof step 4:
precedes∃([] + ix0 ' + ix1 ', x) ⊦ precedes∃([] + ix0 ', x) ∧ (n ∈ ix1 → (∃ n0. n0 ∈ ix0 ∧ precedes(n0, n, x)))

Rule argument

indvar:ixs

Additional information

[Concretesimprules((Csimpgen(illist freely generated by [], +;)))]