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Proof step 2 from proof ocappend (previous step)

∀ a, y. #oc(a, x0 + y) = #oc(a, x0) + #oc(a, y) ⊦ #oc(a, (a0 + x0) + y) = #oc(a, a0 + x0) + #oc(a, y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ a, y. #oc(a, x0 + y) = #oc(a, x0) + #oc(a, y) ⊦ #oc(a, (a0 ' + x0) + y) = #oc(a, a0 ' + x0) + #oc(a, y)

Rule argument

Additional information

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