U32int.nlt: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32int.bend as U32int
Lines 506-507 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32int.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32int.bend&start_line=506&end_line=507

import Base

def nlt(+a: Nat, +b: Nat, +na: Nat, +nb: Nat, +ha: {a == na : Nat}, +hb: {b == nb : Nat}) -> {Nat.is_lt(a, b) == Nat.is_lt(na, nb) : Bool}:
  Equal.trans(Bool, Nat.is_lt(a, b), Nat.is_lt(na, b), Nat.is_lt(na, nb), Equal.cong(Nat, Bool, t => Nat.is_lt(t, b), a, na, ha), Equal.cong(Nat, Bool, t => Nat.is_lt(na, t), b, nb, hb))

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt