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Proof step 3 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 weak cut applied rule cut formula

And obtained the following new goals

Proof step 4:
a0 = a, ∀ a, y. #oc(a, x0 + y) = #oc(a, x0) + #oc(a, y) ⊦ #oc(a, (a0 ' + x0) + y) = #oc(a, a0 ' + x0) + #oc(a, y)
Proof step 6:
∀ a, y. #oc(a, x0 + y) = #oc(a, x0) + #oc(a, y) ⊦ a0 = a, #oc(a, (a0 ' + x0) + y) = #oc(a, a0 ' + x0) + #oc(a, y)

Rule argument

fma: a0 = a

Additional information

Used formulas: a0 = a