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Proof step 2 from proof bin (previous step)

∀ x, a. (x + a ' + y0).butlast = x + (a ' + y0).butlast ⊦ (x + a ' + (a0 + y0)).butlast = x + (a ' + (a0 + y0)).butlast

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ x, a. (x + a ' + y0).butlast = x + (a ' + y0).butlast ⊦ (x + a ' + a0 ' + y0).butlast = x + a ' + (a0 ' + y0).butlast

Rule argument

Additional information

Used simplifier rules: btwo: ⊦ (a ' + b ' + x).butlast = a ' + (b ' + x).butlast;%a: ⊦ (x + y) + z = x + y + z; from specification list%c: ⊦ a + x = a ' + x; from specification list