U32.lt_one_zero: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/lib/u32.bend as U32
Lines 193-198 of bend-collections-laws-math@1.0.0.0/proofs/lib/u32.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/u32.bend&start_line=193&end_line=198

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend as N

def lt_one_zero(+v: Nat, +e: {Nat.is_lt(v, 1n) == True{} : Bool}) -> {v == 0n : Nat}:
  match v:
    case 0n:
      {==}
    case 1n+p:
      Empty.absurd({1n+p == 0n : Nat}, N.lt_zero_absurd(p, e))

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=Empty.absurd
  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
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=lt_zero_absurd