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Proof step 2 from proof l (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ x ⊆m y → # x ≤ # y
Proof step 4:
y ⊆m x → # y ≤ # x, ∀ a. #oc(a, x) ≤ #oc(a, y), ∀ a. #oc(a, y) ≤ #oc(a, x) ⊦ # x = # y

Rule argument

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

Additional information

Used terms: y, x