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Proof step 4 from proof del-del (previous step)

a = a0, ∀ 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 5:
∀ a. (x0 -l a) -l a = x0 -l a ⊦ (x0 -l a0) -l a0 = x0 -l a0

Rule argument

Additional information

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