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Proof step 9 from proof perm-mklist-del (previous step)

perm(x -1l a0, mklist(a, #oc(a, x)) + y0) ↔ perm((x -1l a0) -l a, y0), a0 ∈ x ⊦ a = a0, perm((x -1l a0) -l a, y0) ↔ perm((x -l a) -1l a0, y0), a ∈ y0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: list-del inst: name: del1-del-switch seq: ⊦ a ≠ b → (x -l a) -1l b = (x -1l b) -l a subst: [b, a, x] → [a0, a, x] flags: rewrite

Additional information

Used terms: a0, a, x