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Proof step 5 from proof l (previous step)

# y < # x, ∀ a. #oc(a, y) ≤ #oc(a, x), ∀ a. #oc(a, x) ≤ #oc(a, y) ⊦ # x = # y, x = []

User applied rule insert lemma

And obtained the following new goals

Rule argument

spec: list-perm inst: name: subsize seq: ⊦ x ⊆m y → # x ≤ # y subst: [x, y] → [x, y] flags: current, []

Additional information

Used simplifier rules: msubset: ⊦ x ⊆m y ↔ (∀ a. #oc(a, x) ≤ #oc(a, y));%lels-02: ⊦ m ≠ n → (m ≤ n ↔ m < n); from specification nat%ls-02: ⊦ m < n → ¬ n < m; from specification nat-basic1 Used terms: x, y