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Proof step 2 from proof rm-allsize (previous step)

∀ a. a ∈ [] ↔ a ∈ y ⊦ # rmdup([]) = # rmdup(y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ a. ¬ a ∈ y ⊦ y = []

Rule argument

Additional information

Used simplifier rules: rmdup-e: ⊦ rmdup([]) = [];%rm-empty: ⊦ rmdup(x) = [] ↔ x = [];% ⊦ ¬ a ∈ []; (s)% ⊦ # x = 0 ↔ x = []; (s)% ⊦ # [] = 0; (s)