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Proof step 2 from proof del-del (previous step)

∀ a. (x0 -l a) -l a = x0 -l a ⊦ ((a0 + x0) -l a) -l a = (a0 + x0) -l a

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ a. (x0 -l a) -l a = x0 -l a ⊦ ((a0 ' + x0) -l a) -l a = (a0 ' + x0) -l a

Rule argument

Additional information

Used simplifier rules: c: ⊦ a + x = a ' + x; from specification list