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trees/isa/isa-001T.tree
··· 7 7 \parent{isa-001B} 8 8 \shiki{definition twice :: ‹('a ⇒ 'a) ⇒ 'a ⇒ 'a› where 9 9 ‹twice f x = f (f x)›} 10 - \shiki{lemma ‹rpt (twice f) n (f (x::two)) = f x›} 10 + \shiki{lemma ‹rpt (twice f) n (f (x::oot)) = f x›} 11 11 \solnblock{ 12 12 \shiki{apply (unfold twice_def) 13 13 apply (induct n)