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Proof step 3 from proof del1-del (previous step)

∀ a. (x0 -1l a) -l a = x0 -l a ⊦ ((a0 ' + x0) -1l a) -l a = (a0 ' + x0) -l a

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 4:
∀ a. (x0 -1l a) -l a = x0 -l a ⊦ a = a0, ((a0 ' + x0) -1l a) -l a = (a0 ' + x0) -l a

Rule argument

fma: a = a0

Additional information

Used simplifier rules: del1-y: ⊦ (a ' + x) -1l a = x;%del-y: ⊦ (a ' + x) -l a = x -l a;%a: ⊦ (x + y) + z = x + y + z; from specification list Used formulas: a = a0