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Proof step 2 from proof ocs-mklist (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ a. x0 = mklist(a, #oc(a, x0)) ↔ x0 -l a = [] ⊦ a0 ' + x0 = mklist(a, #oc(a, a0 ') + #oc(a, x0)) ↔ (a0 ' + x0) -l a = []

Rule argument

Additional information

Used simplifier rules: ocappend: ⊦ #oc(a, x + y) = #oc(a, x) + #oc(a, y);%a: ⊦ (x + y) + z = x + y + z; from specification list%c: ⊦ a + x = a ' + x; from specification list