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Proof step 9 from proof le (previous step)

a ∈ y, # y ≤ # filter(rmdup(x0), y), ∀ y. # y < # filter(rmdup(x0), y) → filter(rmdup(x0), y) = [] ⊦ a ∈ x0

User applied rule all left

And obtained the following new goals

Proof step 10:
a ∈ y, # y ≤ # filter(rmdup(x0), y), #(y -1l a) < # filter(rmdup(x0), y -1l a) → filter(rmdup(x0), y -1l a) = [] ⊦ a ∈ x0

Rule argument

pos: left 3 terms: y -1l a abort: F discard: T computed: F

Additional information

Used terms: y -1l a