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Proof step 2 from proof elim-list-c (previous step)

⊦ x = x.first + x.rest, x = []

Heuristic structural induction applied rule structural induction

And closed the goal!

Rule argument

term: x

Additional information

Used simplifier rules: gen: ⊦ ;%sel-1: ⊦ (a + x).first = a;%sel-2: ⊦ (a + x).rest = x;%f: ⊦ a + x = a + y ↔ x = y;