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Proof step 9 from proof max-exists (previous step)

∀ files0, dirs. # files0 < # ∅ → (∀ dirs0, files. # dirs0 < # dirs → true → (∃ ino. ino ≠ 0 ∧ (∀ n. n ∈ dirs0 ∨ n ∈ files → n < ino))) → (∃ ino. ino ≠ 0 ∧ (∀ n. n ∈ dirs ∨ n ∈ files0 → n < ino)) ⊦ ∃ ino. ino ≠ 0

User applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: 1 abort: F discard: F computed: F

Additional information

Used terms: 1