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Proof step 5 from proof subapp-03 (previous step)

#oc(a, y) + #oc(a, x0) < #oc(a, x), x ⊆m x0, a ∈ x ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ x ⊆m y ↔ (∀ a. #oc(a, x) ≤ #oc(a, y))
Proof step 7:
#oc(a, y) + #oc(a, x0) < #oc(a, x), ∀ a. #oc(a, x) ≤ #oc(a, x0), a ∈ x ⊦

Rule argument

spec: list-perm inst: name: msubset seq: ⊦ x ⊆m y ↔ (∀ a. #oc(a, x) ≤ #oc(a, y)) subst: [y, x] → [x0, x] flags: rewrite, current

Additional information

Used terms: x0, x