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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

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