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Proof step 7 from proof perm-mklist-del (previous step)

a0 ∈ x, ∀ x, a. (perm(x, mklist(a, #oc(a, x)) + y0) ↔ perm(x -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

User applied rule all left

And obtained the following new goals

Proof step 8:
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

Rule argument

pos: left 2 terms: x -1l a0, a abort: F discard: T computed: F

Additional information

Used terms: x -1l a0, a