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Proof step 4 from proof del-del1-switch (previous step)

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

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 5:
∀ a, b. (x0 -1l a) -l b = (x0 -l b) -1l a ∨ a = b ⊦ a = a0, a = b, ((a0 ' + x0) -1l a) -l b = ((a0 ' + x0) -l b) -1l a

Rule argument

fma: a = a0

Additional information

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