BoundedU32Arithmetic.native_subtract: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/bounded_u32_arithmetic.bend as BoundedU32Arithmetic
Lines 81-85 of stelliferous@0.0.2.0/proofs/bounded_u32_arithmetic.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/bounded_u32_arithmetic.bend&start_line=81&end_line=85

import Base
import stelliferous@0.0.2.0/proofs/word_subtraction.bend as Subtraction

def native_subtract(+a: U32,+b: U32,h: {Nat.is_le(U32.to_nat(b),U32.to_nat(a)) == True{} : Bool}) -> {U32.sub(a,
    b) == U32.from_nat(Nat.sub(U32.to_nat(a),U32.to_nat(b))) : U32}:
  %native_roundtrip(a) : {U32.sub(_,b) == U32.from_nat(Nat.sub(U32.to_nat(a),U32.to_nat(b))) : U32}
  %native_roundtrip(b) : {U32.sub(U32.from_nat(U32.to_nat(a)),_) == U32.from_nat(Nat.sub(U32.to_nat(a),U32.to_nat(b))) : U32}
  Subtraction.encoded_subtract(U32.to_nat(a),U32.to_nat(b),h)

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.from_nat
  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=stelliferous@0.0.2.0/proofs/bounded_u32_arithmetic.bend&name=native_roundtrip
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/word_subtraction.bend&name=encoded_subtract