U32.sub_nat: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32.bend as U32
Lines 100-101 of bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/u32.bend&start_line=100&end_line=101

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/subtraction_bounds.bend as SB

def sub_nat(+a: U32, +b: U32, +e: {Nat.is_le(U32.to_nat(b), U32.to_nat(a)) == True{} : Bool}) -> {U32.to_nat(U32.sub(a, b)) == Nat.sub(U32.to_nat(a), U32.to_nat(b)) : Nat}:
  SB.u32_exact(a, b, e)

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/subtraction_bounds.bend&name=u32_exact