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Proof step 4 from proof ocs-mklist (previous step)

a = a0, ∀ a. x0 = mklist(a, #oc(a, x0)) ↔ x0 -l a = [] ⊦ a0 ' + x0 = mklist(a, #oc(a, a0 ') + #oc(a, x0)) ↔ (a0 ' + x0) -l a = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
∀ a. x0 = mklist(a, #oc(a, x0)) ↔ x0 -l a = [] ⊦ a0 ' + x0 = mklist(a0, 1 + #oc(a0, x0)) ↔ x0 -l a0 = []

Rule argument

Additional information

Used simplifier rules: one: ⊦ #oc(a, a ') = 1;%a: ⊦ (x + y) + z = x + y + z; from specification list%del-y: ⊦ (a ' + x) -l a = x -l a; from specification list-del