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Proof step 8 from proof del1-del-switch (previous step)

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

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 9:
∀ a, b. (x0 -l a) -1l b = (x0 -1l b) -l a ∨ a = b ⊦ b = a0, a = a0, a = b, (a0 ' + (x0 -l a)) -1l b = ((a0 ' + x0) -1l b) -l a

Rule argument

fma: b = a0

Additional information

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