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Proof step 3 from proof new-inode-exists (previous step)

∀ ino0. inodekey(ino0) ∈ ks → ino0 < ino ⊦ ∃ ino. ¬ inodekey(ino) ∈ ks

User applied rule exists right

And obtained the following new goals

Proof step 4:
inodekey(ino) ∈ ks, ∀ ino0. inodekey(ino0) ∈ ks → ino0 < ino ⊦ ∃ ino. ¬ inodekey(ino) ∈ ks

Rule argument

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

Additional information

Used terms: ino