U32Division.nat_nonzero: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/u32_division.bend as U32Division
Lines 138-143 of stelliferous@0.0.2.0/proofs/u32_division.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/u32_division.bend&start_line=138&end_line=143

import Base
import stelliferous@0.0.2.0/proofs/word_encoding.bend as WordEncoding

def nat_nonzero(+b: Nat,h: {Nat.is_lt(0n,b) == True{} : Bool}) -> {Nat.is_eq(b,0n) == False{} : Bool}:
  match b:
    case 0n:
      Empty.absurd({Nat.is_eq(0n,0n) == False{} : Bool},WordEncoding.false_true(h))
    case 1n+p:
      {==}

Uses (6):
  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_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_encoding.bend&name=false_true