fact: Definition ind_0_1_SS (P : nat -> Prop) (H0 : P 0) (H1 : P 1) (H2 : forall n : nat, P n -> P (S (S n))) : forall n, P n := fix ind_0_1_SS (n : nat) : P n := match n as n0 return (P n0) with | 0 => H0 | S n0 => (fun n1 : nat => match n1 as n2 return (P (S n2)) with | 0 => H1 | S n2 => (fun n3 : nat => H2 n3 (ind_0_1_SS n3)) n2 end) n0 end.
imports: Coq(Arith Lia)