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Proof step 3 from proof subdel (previous step)

x ⊆m y -1l a ⊦ x ⊆m y

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ x ⊆m y ↔ (∀ a. #oc(a, x) ≤ #oc(a, y))
Proof step 5:
x ⊆m y -1l a ⊦ ∀ a. #oc(a, x) ≤ #oc(a, y)

Rule argument

spec: <toplevel> name: msubset seq: ⊦ x ⊆m y ↔ (∀ a. #oc(a, x) ≤ #oc(a, y)) subst: [y, x] → [y, x] flags: <all paths>

Additional information

Used terms: y, x