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Proof step 8 from proof perm-mklist-del (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
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

Rule argument

Additional information

Used simplifier rules: del1-01: ⊦ a ≠ b → #oc(a, x -1l b) = #oc(a, x);