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Proof step 9 from proof del (previous step)

a ∈ x, y ⊆m x -1l a ⊦ x ⊆m a ' + y ↔ x -1l a ⊆m y

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ x ⊆m a ' + y ↔ #oc(a, x) ≤ #oc(a, y) + 1 ∧ x -1l a ⊆m y
Proof step 11:
a ∈ x, y ⊆m x -1l a ⊦ #oc(a, x) ≤ #oc(a, y) + 1 ∧ x -1l a ⊆m y ↔ x -1l a ⊆m y

Rule argument

spec: inst: name: subrec-01 seq: ⊦ x ⊆m a ' + y ↔ #oc(a, x) ≤ #oc(a, y) + 1 ∧ x -1l a ⊆m y subst: [y, a, x] → [y, a, x] flags: rewrite, current

Additional information

Used terms: y, a, x