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Proof step 1 from proof bin (conclusion)

⊦ (x + a ' + y).butlast = x + (a ' + y).butlast

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ x, a. (x + a ' + y0).butlast = x + (a ' + y0).butlast ⊦ (x + a ' + (a0 + y0)).butlast = x + (a ' + (a0 + y0)).butlast

Rule argument

term: y

Additional information

Used simplifier rules: butlast-def: ⊦ (x + a ').butlast = x;%b: ⊦ a '.butlast = [];%list freely generated by [], +;;%app: ⊦ x + [] = x; from specification list%a: ⊦ (x + y) + z = x + y + z; from specification list