def lt_add_cancel
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/natfuel.bend as Natfuelimport Base
481def lt_add_cancel(+d: Nat, +x: Nat, +y: Nat) -> {Nat.is_lt(Nat.add(d, x), Nat.add(d, y)) == Nat.is_lt(x, y) : Bool}:
482 match d:
483 case 0n:
484 {==}
485 case 1n+ +e:
486 lt_add_cancel(e, x, y)