def internal_lt_one_succ
import bend-mathlib@0.8.1.0/nat.bend as Natimport Base
3500def internal_lt_one_succ(y: Nat, h: lt(y, 1n)) -> {Bool.or(Nat.is_eq(1n+y, 0n), Nat.is_eq(1n+y, 1n)) == True{} : Bool}:
3501 match y:
3502 case 0n:
3503 {==}
3504 case 1n+z:
3505 Empty.absurd({Bool.or(Nat.is_eq(2n+z, 0n), Nat.is_eq(2n+z, 1n)) == True{} : Bool}, lt_zero(z)(h))